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Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
Book Synopsis Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable by : Kazuyoshi Kiyohara
Download or read book Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable written by Kazuyoshi Kiyohara and published by American Mathematical Soc.. This book was released on 1997 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
This volume is devoted to the study of almost automorphic dynamics in differential equations. By making use of techniques from abstract topological dynamics, it is shown that almost automorphy, a notion which was introduced by S. Bochner in 1955, is essential and fundamental in the qualitative study of almost periodic differential equations.
Book Synopsis Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows by : Wenxian Shen
Download or read book Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows written by Wenxian Shen and published by American Mathematical Soc.. This book was released on 1998 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of almost automorphic dynamics in differential equations. By making use of techniques from abstract topological dynamics, it is shown that almost automorphy, a notion which was introduced by S. Bochner in 1955, is essential and fundamental in the qualitative study of almost periodic differential equations.
This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Book Synopsis The Defect Relation of Meromorphic Maps on Parabolic Manifolds by : George Lawrence Ashline
Download or read book The Defect Relation of Meromorphic Maps on Parabolic Manifolds written by George Lawrence Ashline and published by American Mathematical Soc.. This book was released on 1999 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the exceptional Lie groups. Cohen, Griess, Lisser, Ryba, Serre and Wales have pioneered this area, classifying the finite simple and quasisimple subgroups that embed in the exceptional complex Lie groups. This work contains the first major results concerning conjugacy classes of embeddings of finite subgroups of an exceptional complex Lie group in which there are large numbers of classes. The approach developed in this work is character theoretic, taking advantage of the classical subgroups of Eg(C). The machinery used is relatively elementary and has been used by the author and others to solve other conjugacy problems. The results presented here are very explicity. Each known conjugacy class if listed by its fusion pattern with an explicit character afforded by an embedding in that class.
Book Synopsis Conjugacy of $\mathrm {Alt}_5$ and $\mathrm {SL}(2, 5)$ Subgroups of $E_8(\mathbb C)$ by : Darrin D. Frey
Download or read book Conjugacy of $\mathrm {Alt}_5$ and $\mathrm {SL}(2, 5)$ Subgroups of $E_8(\mathbb C)$ written by Darrin D. Frey and published by American Mathematical Soc.. This book was released on 1998 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the exceptional Lie groups. Cohen, Griess, Lisser, Ryba, Serre and Wales have pioneered this area, classifying the finite simple and quasisimple subgroups that embed in the exceptional complex Lie groups. This work contains the first major results concerning conjugacy classes of embeddings of finite subgroups of an exceptional complex Lie group in which there are large numbers of classes. The approach developed in this work is character theoretic, taking advantage of the classical subgroups of Eg(C). The machinery used is relatively elementary and has been used by the author and others to solve other conjugacy problems. The results presented here are very explicity. Each known conjugacy class if listed by its fusion pattern with an explicit character afforded by an embedding in that class.
The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones, Results in the book are free of any additional set-theoretic assumptions.
Book Synopsis Algebraic Structure of Pseudocompact Groups by : Dikran N. Dikranjan
Download or read book Algebraic Structure of Pseudocompact Groups written by Dikran N. Dikranjan and published by American Mathematical Soc.. This book was released on 1998 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones, Results in the book are free of any additional set-theoretic assumptions.
This book is intended for graduate students and research mathematicians working in group theory and generalizations
Book Synopsis Treelike Structures Arising from Continua and Convergence Groups by : Brian Hayward Bowditch
Download or read book Treelike Structures Arising from Continua and Convergence Groups written by Brian Hayward Bowditch and published by American Mathematical Soc.. This book was released on 1999 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in group theory and generalizations
In this volume, the authors study asymptotics of the geometry and spectral theory of degenerating sequences of finite volume hyperbolic manifolds of three dimensions. Thurston's hyperbolic surgery theorem assets the existence of non-trivial sequences of finite volume hyperbolic three manifolds which converge to a three manifold with additional cusps. In the geometric aspect of their study, the authors use the convergence of hyperbolic metrics on the thick parts of the manifolds under consideration to investigate convergentce of tubes in the manifolds of the sequence to cusps of the limiting manifold. In the specral theory aspect of the work, they prove convergence of heat kernels. They then define a regualrized heat race associated to any finite volume, complete, hyperbolic three manifold, and study its asymptotic behaviour through degeneration. As an application of the analysis of the regularized heat trace, they study asymptotic behaviours of the spectral zeta function, determinant of the Laplacian, Selberg zeta function, and spectral counting functions through degeneration. The authors' methods are an adaptation to three dimensions of the earlier work of Jorgenson and Lundelius who investigated the asymptotic behaviour of spectral functions on degenerating families of finite area hyperbolic Riemann surfaces.
Book Synopsis Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds by : Józef Dodziuk
Download or read book Spectral Asymptotics on Degenerating Hyperbolic 3-Manifolds written by Józef Dodziuk and published by American Mathematical Soc.. This book was released on 1998 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors study asymptotics of the geometry and spectral theory of degenerating sequences of finite volume hyperbolic manifolds of three dimensions. Thurston's hyperbolic surgery theorem assets the existence of non-trivial sequences of finite volume hyperbolic three manifolds which converge to a three manifold with additional cusps. In the geometric aspect of their study, the authors use the convergence of hyperbolic metrics on the thick parts of the manifolds under consideration to investigate convergentce of tubes in the manifolds of the sequence to cusps of the limiting manifold. In the specral theory aspect of the work, they prove convergence of heat kernels. They then define a regualrized heat race associated to any finite volume, complete, hyperbolic three manifold, and study its asymptotic behaviour through degeneration. As an application of the analysis of the regularized heat trace, they study asymptotic behaviours of the spectral zeta function, determinant of the Laplacian, Selberg zeta function, and spectral counting functions through degeneration. The authors' methods are an adaptation to three dimensions of the earlier work of Jorgenson and Lundelius who investigated the asymptotic behaviour of spectral functions on degenerating families of finite area hyperbolic Riemann surfaces.
This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.
Book Synopsis Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields by : Toshiaki Adachi
Download or read book Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields written by Toshiaki Adachi and published by World Scientific. This book was released on 2013-09-24 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.
The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups by : Magdy Assem
Download or read book On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups written by Magdy Assem and published by American Mathematical Soc.. This book was released on 1998 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR
This book is intended for graduate students and research mathematicians interested in group theory and genralizations
Book Synopsis $A_1$ Subgroups of Exceptional Algebraic Groups by : Ross Lawther
Download or read book $A_1$ Subgroups of Exceptional Algebraic Groups written by Ross Lawther and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in group theory and genralizations
