Transformation Groups In Differential Geometry
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Transformation Groups In Differential Geometry
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Author : Shoshichi Kobayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Transformation Groups In Differential Geometry written by Shoshichi Kobayashi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.
Transformation Groups In Differential Geometry Von S Kobayashi
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Author : S. Kobayashi
language : en
Publisher:
Release Date : 1972
Transformation Groups In Differential Geometry Von S Kobayashi written by S. Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Lie Transformation Groups And Differential Geometry
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Author :
language : de
Publisher:
Release Date : 1986
Lie Transformation Groups And Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Discrete Groups In Geometry And Analysis
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Author : Howe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Discrete Groups In Geometry And Analysis written by Howe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
Topological Transformation Groups
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Author : Deane Montgomery
language : en
Publisher: Courier Dover Publications
Release Date : 2018-06-13
Topological Transformation Groups written by Deane Montgomery and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-13 with Mathematics categories.
An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.
Affine Differential Geometry
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Author : Buqing Su
language : en
Publisher: CRC Press
Release Date : 1983
Affine Differential Geometry written by Buqing Su and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Differential Geometry And Symmetric Spaces
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Author :
language : en
Publisher: Academic Press
Release Date : 1962-01-01
Differential Geometry And Symmetric Spaces written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.
Differential Geometry and Symmetric Spaces
Transformation Groups
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Author : Tammo tom Dieck
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20
Transformation Groups written by Tammo tom Dieck and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-20 with Mathematics categories.
“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Prof. Günter M. Ziegler, TU Berlin
Group Actions On Manifolds
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Author : Reinhard Schultz
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Group Actions On Manifolds written by Reinhard Schultz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.
Recent Advances In Alexandrov Geometry
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Author : Gerardo Arizmendi Echegaray
language : en
Publisher: Springer Nature
Release Date : 2022-10-27
Recent Advances In Alexandrov Geometry written by Gerardo Arizmendi Echegaray and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with Mathematics categories.
This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT. Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs. The text from Fernando Galaz-García’s minicourse was completed in collaboration with Jesús Nuñez-Zimbrón. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces. Jesús Nuñez-Zimbrón’s contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below.