Logo

Comparison Geometry by Karsten Grove, Peter Petersen

Large book cover: Comparison Geometry

Comparison Geometry
by

Publisher: Cambridge University Press
ISBN/ASIN: 052108945X
ISBN-13: 9780521089456
Number of pages: 262

Description:
Comparison Geometry asks: What can we say about a Riemannian manifold if we know a bound for its curvature, and perhaps something about its topology? This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach. The historical evolution of the subject is summarized in charts and tables of examples.

Home page url

Download or read it online for free here:
Download link
(multiple PDF,PS files)

Similar books

Book cover: Lectures on Calabi-Yau and Special Lagrangian GeometryLectures on Calabi-Yau and Special Lagrangian Geometry
by - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(6820 views)
Book cover: Exterior Differential SystemsExterior Differential Systems
by - MSRI
An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.
(1106 views)
Book cover: Lectures on Exterior Differential SystemsLectures on Exterior Differential Systems
by - Tata Institute of Fundamental Research
Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.
(6264 views)
Book cover: Cusps of Gauss MappingsCusps of Gauss Mappings
by - Pitman Advanced Pub. Program
Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.
(9759 views)