Differential Geometry in the Large

Differential Geometry in the Large
Author: Owen Dearricott
Publisher: Cambridge University Press
Total Pages: 402
Release: 2020-10-22
Genre: Mathematics
ISBN: 1108879993

The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

Differential Geometry and Analysis on CR Manifolds

Differential Geometry and Analysis on CR Manifolds
Author: Sorin Dragomir
Publisher: Springer Science & Business Media
Total Pages: 499
Release: 2007-06-10
Genre: Mathematics
ISBN: 0817644830

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern

Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern
Author: Weihuan Chen
Publisher: World Scientific
Total Pages: 361
Release: 2000-11-07
Genre: Mathematics
ISBN: 9814492035

Contents:Progress in Affine Differential Geometry — Problem List and Continued Bibliography (T Binder & U Simon)On the Classification of Timelike Bonnet Surfaces (W H Chen & H Z Li)Affine Hyperspheres with Constant Affine Sectional Curvature (F Dillen et al.)Geometric Properties of the Curvature Operator (P Gilkey)On a Question of S S Chern Concerning Minimal Hypersurfaces of Spheres (I Hiric( & L Verstraelen)Parallel Pure Spinors on Pseudo-Riemannian Manifolds (I Kath)Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds (F Leitner)Nirenberg's Problem in 90's (L Ma)A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g,m) = (6, 1) (R Miyaoka)Harmonic Maps and Negatively Curved Homogeneous Spaces (S Nishikawa)Biharmonic Morphisms Between Riemannian Manifolds (Y L Ou)Intrinsic Properties of Real Hypersurfaces in Complex Space Forms (P J Ryan)On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds (Y B Shen & H Q Xu)Geodesic Mappings of the Ellipsoid (K Voss)η-Invariants and the Poincaré-Hopf Index Formula (W Zhang)and other papers Readership: Researchers in differential geometry and topology. Keywords:Conference;Proceedings;Berlin (Germany);Beijing (China);Geometry;Topology;Submanifolds X;Differential Geometry;Dedication

From Differential Geometry to Non-commutative Geometry and Topology

From Differential Geometry to Non-commutative Geometry and Topology
Author: Neculai S. Teleman
Publisher: Springer Nature
Total Pages: 406
Release: 2019-11-10
Genre: Mathematics
ISBN: 3030284336

This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.

A Panoramic View of Riemannian Geometry

A Panoramic View of Riemannian Geometry
Author: Marcel Berger
Publisher: Springer Science & Business Media
Total Pages: 835
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642182453

This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS

Proceedings of the Workshop on Differential Geometry and Topology, Alghero, Italy, 20-26 June 1992

Proceedings of the Workshop on Differential Geometry and Topology, Alghero, Italy, 20-26 June 1992
Author: Renzo Caddeo
Publisher:
Total Pages: 266
Release: 1993
Genre: MATHEMATICS
ISBN: 9789814535779

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992. The main goal of this meeting was to offer an introduction in attractive areas of current research and to discuss some recent important achievements in both the fields. This is reflected in the present book which contains some introductory texts together with more specialized contributions. The topics covered in this volume include circle and sphere packings, 3-manifolds invariants and combinatorial presentations of manifolds, soliton theory and it.

Complexity, Metastability And Nonextensivity - Proceedings Of The 31st Workshop Of The International School Of Solid State Physics

Complexity, Metastability And Nonextensivity - Proceedings Of The 31st Workshop Of The International School Of Solid State Physics
Author: Constantino Tsallis
Publisher: World Scientific
Total Pages: 427
Release: 2005-09-23
Genre: Science
ISBN: 9814479187

A broad introduction and overview of current interdisciplinary studies on complexity, this volume is an ideal starting point for scientists and graduate students who wish to enter the field. The book features a diverse collection of the latest research work not found in a single volume elsewhere.Among the highly regarded contributors to the volume are the 2004 Boltzmann medalists E G D Cohen and H E Stanley; G Parisi, Boltzmann medalist in 1992 and Dirac medalist in 1999; and numerous internationally renowned experts, such as S Abe, F T Arecchi, J-P Bouchaud, A Coniglio, W Ebeling, P Grigolini, R Mantegna, M Paczuski, A Robledo, L Pietronero, A Vespignani, and T Vicsek.