![The Proceedings of the Conference[s] on Geometric Structures on Manifolds PDF](https://books.google.com/books/content/images/frontcover/AkHvAAAAMAAJ?fife=w150-h200)
Author: Suhyoung ChoiPublisher:
ISBN:
Category : Gauge fields (Physics)
Languages : en
Pages : 206
Book Description
The Proceedings of the Conference[s] on Geometric Structures on Manifolds
![The Proceedings of the Conference[s] on Geometric Structures on Manifolds PDF](https://books.google.com/books/content/images/frontcover/AkHvAAAAMAAJ?fife=w80-h100)
Author: Suhyoung ChoiPublisher:
ISBN:
Category : Gauge fields (Physics)
Languages : en
Pages : 206
Book Description
Geometry and Analysis on Manifolds
Author: Toshikazu SunadaPublisher: Springer
ISBN: 3540459308
Category : Mathematics
Languages : en
Pages : 290
Book Description
The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Riemannian Topology and Geometric Structures on Manifolds
Author: Krzysztof GalickiPublisher: Springer Science & Business Media
ISBN: 0817647430
Category : Mathematics
Languages : en
Pages : 290
Book Description
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.
Topology and Geometry of Manifolds
Author: Ga.) Georgia International Topology Conference (2001 : AthensPublisher: American Mathematical Soc.
ISBN: 0821835076
Category : Differential topology
Languages : en
Pages : 370
Book Description
Since 1961, the Georgia Topology Conference has been held every eight years to discuss the newest developments in topology. The goals of the conference are to disseminate new and important results and to encourage interaction among topologists who are in different stages of their careers. Invited speakers are encouraged to aim their talks to a broad audience, and several talks are organized to introduce graduate students to topics of current interest. Each conference results in high-quality surveys, new research, and lists of unsolved problems, some of which are then formally published. Continuing in this 40-year tradition, the AMS presents this volume of articles and problem lists from the 2001 conference. Topics covered include symplectic and contact topology, foliations and laminations, and invariants of manifolds and knots. Articles of particular interest include John Etnyre's, ``Introductory Lectures on Contact Geometry'', which is a beautiful expository paper that explains the background and setting for many of the other papers. This is an excellent introduction to the subject for graduate students in neighboring fields. Etnyre and Lenhard Ng's, ``Problems in Low-Dimensional Contact Topology'' and Danny Calegari's extensive paper,``Problems in Foliations and Laminations of 3-Manifolds'' are carefully selected problems in keeping with the tradition of the conference. They were compiled by Etnyre and Ng and by Calegari with the input of many who were present. This book provides material of current interest to graduate students and research mathematicians interested in the geometry and topology of manifolds.
Differential Geometry and Its Applications
Author: New Developments in Differential Geometry, Budapest 1996
Author: J. SzenthePublisher: Springer Science & Business Media
ISBN: 9401152764
Category : Mathematics
Languages : en
Pages : 513
Book Description
Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
Geometric Science of Information
Author: Frank NielsenPublisher: Springer Nature
ISBN: 3030802094
Category : Computers
Languages : en
Pages : 929
Book Description
This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021. The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations; information geometry in physics; Lie group machine learning; geometric and symplectic methods for hydrodynamical models; harmonic analysis on Lie groups; statistical manifold and Hessian information geometry; geometric mechanics; deformed entropy, cross-entropy, and relative entropy; transformation information geometry; statistics, information and topology; geometric deep learning; topological and geometrical structures in neurosciences; computational information geometry; manifold and optimization; divergence statistics; optimal transport and learning; and geometric structures in thermodynamics and statistical physics.
Geometric Structures on Manifolds
Author: William M. GoldmanPublisher: American Mathematical Society
ISBN: 1470471035
Category : Mathematics
Languages : en
Pages : 494
Book Description
The theory of geometric structures on manifolds which are locally modeled on a homogeneous space of a Lie group traces back to Charles Ehresmann in the 1930s, although many examples had been studied previously. Such locally homogeneous geometric structures are special cases of Cartan connections where the associated curvature vanishes. This theory received a big boost in the 1970s when W. Thurston put his geometrization program for 3-manifolds in this context. The subject of this book is more ambitious in scope. Unlike Thurston's eight 3-dimensional geometries, it covers structures which are not metric structures, such as affine and projective structures. This book describes the known examples in dimensions one, two and three. Each geometry has its own special features, which provide special tools in its study. Emphasis is given to the interrelationships between different geometries and how one kind of geometric structure induces structures modeled on a different geometry. Up to now, much of the literature has been somewhat inaccessible and the book collects many of the pieces into one unified work. This book focuses on several successful classification problems. Namely, fix a geometry in the sense of Klein and a topological manifold. Then the different ways of locally putting the geometry on the manifold lead to a “moduli space”. Often the moduli space carries a rich geometry of its own reflecting the model geometry. The book is self-contained and accessible to students who have taken first-year graduate courses in topology, smooth manifolds, differential geometry and Lie groups.
Invariants of Homology 3-Spheres
Author: Nikolai SavelievPublisher: Springer Science & Business Media
ISBN: 9783540437963
Category : Mathematics
Languages : en
Pages : 254
Book Description
The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a valuable source for both the graduate student and researcher in mathematics and theoretical physics.
Geometric Structures of Information
Author: Frank NielsenPublisher: Springer
ISBN: 3030025209
Category : Technology & Engineering
Languages : en
Pages : 392
Book Description
This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.