Metric and Comparison Geometry

Filename: metric-and-comparison-geometry.pdf
ISBN: 1571461175
Release Date: 2007
Number of pages: 347
Author: Jeff Cheeger
Publisher: International Pressof Boston Incorporated

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Global Differential Geometry

Filename: global-differential-geometry.pdf
ISBN: 9783642228421
Release Date: 2011-12-18
Number of pages: 524
Author: Christian Bär
Publisher: Springer Science & Business Media

Download and read online Global Differential Geometry in PDF and EPUB This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.


Geometry of Manifolds with Non negative Sectional Curvature

Filename: geometry-of-manifolds-with-non-negative-sectional-curvature.pdf
ISBN: 9783319063737
Release Date: 2014-07-22
Number of pages: 196
Author: Owen Dearricott
Publisher: Springer

Download and read online Geometry of Manifolds with Non negative Sectional Curvature in PDF and EPUB Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.


Pure and Applied Mathematics Quarterly

Filename: pure-and-applied-mathematics-quarterly.pdf
ISBN: UOM:39015085194564
Release Date: 2009
Number of pages:
Author:
Publisher:

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Methods and Applications of Analysis

Filename: methods-and-applications-of-analysis.pdf
ISBN: UOM:39015085202235
Release Date: 2007
Number of pages:
Author:
Publisher:

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Ricci Flow and Geometric Applications

Filename: ricci-flow-and-geometric-applications.pdf
ISBN: 9783319423517
Release Date: 2016-09-09
Number of pages: 136
Author: Michel Boileau
Publisher: Springer

Download and read online Ricci Flow and Geometric Applications in PDF and EPUB Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very important open problems and conjectures come from this area and the techniques described herein are used to face and solve some of them. The book’s four chapters are based on lectures given by leading researchers in the field of geometric analysis and low-dimensional geometry/topology, respectively offering an introduction to: the differentiable sphere theorem (G. Besson), the geometrization of 3-manifolds (M. Boileau), the singularities of 3-dimensional Ricci flows (C. Sinestrari), and Kähler–Ricci flow (G. Tian). The lectures will be particularly valuable to young researchers interested in differential manifolds.


Surveys in Differential Geometry

Filename: surveys-in-differential-geometry.pdf
ISBN: 1571461183
Release Date: 2008
Number of pages: 347
Author: Huai-Dong Cao
Publisher:

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Symmetry Representation Theory and Its Applications

Filename: symmetry-representation-theory-and-its-applications.pdf
ISBN: 9781493915903
Release Date: 2015-01-04
Number of pages: 538
Author: Roger Howe
Publisher: Springer

Download and read online Symmetry Representation Theory and Its Applications in PDF and EPUB Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.


Geometric Flows

Filename: geometric-flows.pdf
ISBN: 1571461183
Release Date: 2008
Number of pages: 347
Author: Huai-Dong Cao
Publisher: Amer Mathematical Society

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The Ricci Flow in Riemannian Geometry

Filename: the-ricci-flow-in-riemannian-geometry.pdf
ISBN: 9783642162862
Release Date: 2010-11-09
Number of pages: 302
Author: Ben Andrews
Publisher: Springer

Download and read online The Ricci Flow in Riemannian Geometry in PDF and EPUB This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.


General Relativity and Gravitation

Filename: general-relativity-and-gravitation.pdf
ISBN: 9781316298695
Release Date: 2015-06-01
Number of pages:
Author: Abhay Ashtekar
Publisher: Cambridge University Press

Download and read online General Relativity and Gravitation in PDF and EPUB Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave science, mathematics, computational science, and the interface of gravitation and quantum physics with this unique celebration of the centennial of Einstein's discovery of general relativity. Twelve comprehensive and in-depth reviews, written by a team of world-leading international experts, together present an up-to-date overview of key topics at the frontiers of these areas, with particular emphasis on the significant developments of the last three decades. Interconnections with other fields of research are also highlighted, making this an invaluable resource for both new and experienced researchers. Commissioned by the International Society on General Relativity and Gravitation, and including accessible introductions to cutting-edge topics, ample references to original research papers, and informative colour figures, this is a definitive reference for researchers and graduate students in cosmology, relativity, and gravitational science.


Global Riemannian Geometry

Filename: global-riemannian-geometry.pdf
ISBN: 3764321709
Release Date: 2003-05-23
Number of pages: 87
Author: Steen Markvorsen
Publisher: Springer Science & Business Media

Download and read online Global Riemannian Geometry in PDF and EPUB This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers.


Lie Groups Differential Equations and Geometry

Filename: lie-groups-differential-equations-and-geometry.pdf
ISBN: 9783319621814
Release Date: 2017-09-19
Number of pages: 361
Author: Giovanni Falcone
Publisher: Springer

Download and read online Lie Groups Differential Equations and Geometry in PDF and EPUB This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.


Needle Decompositions in Riemannian Geometry

Filename: needle-decompositions-in-riemannian-geometry.pdf
ISBN: 9781470425425
Release Date: 2017-09-25
Number of pages: 77
Author: Bo’az Klartag
Publisher: American Mathematical Soc.

Download and read online Needle Decompositions in Riemannian Geometry in PDF and EPUB The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis.


Handbook of Geometric Topology

Filename: handbook-of-geometric-topology.pdf
ISBN: 0080532853
Release Date: 2001-12-20
Number of pages: 1144
Author: R.B. Sher
Publisher: Elsevier

Download and read online Handbook of Geometric Topology in PDF and EPUB Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.