Surveys In Differential Geometry Vol 11 Metric And Comparison Geometry PDF EPUB Download

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Metric and Comparison Geometry

Author: Jeff Cheeger

Publisher: International Pressof Boston Incorporated

ISBN:

Category: Mathematics

Page: 347

View: 183

Global Differential Geometry

Author: Christian Bär

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 524

View: 765

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

Editors: Rafael Herrera, Luis Hernández-Lamoneda

Author: Owen Dearricott

Publisher: Springer

ISBN:

Category: Mathematics

Page: 196

View: 426

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.

Quantum Triangulations

Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow

Author: Mauro Carfora

Publisher: Springer

ISBN:

Category: Science

Page: 392

View: 435

This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models’ effective action to Perelman’s energy-functional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications.

Pure and Applied Mathematics Quarterly

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 575

Methods and Applications of Analysis

Author:

Publisher:

ISBN:

Category: Mathematical analysis

Page:

View: 206

Geometric and Topological Inference

Author: Jean-Daniel Boissonnat

Publisher: Cambridge University Press

ISBN:

Category: Computers

Page: 300

View: 189

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

Surveys in Differential Geometry

Supplement to the Journal of Differential Geometry

Author: Huai-Dong Cao

Publisher:

ISBN:

Category: Geometry, Differential

Page: 347

View: 959

Ricci Flow and Geometric Applications

Cetraro, Italy 2010

Author: Michel Boileau

Publisher: Springer

ISBN:

Category: Mathematics

Page: 136

View: 442

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

essays on Einstein manifolds

Author: Claude LeBrun

Publisher: Intl Pr of Boston Inc

ISBN:

Category: Mathematics

Page: 423

View: 627

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