**Comparison Geometry**

by Karsten Grove, Peter Petersen

**Publisher**: Cambridge University Press 1997**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.

Download or read it online for free here:

**Download link**

(multiple PDF,PS files)

## Similar books

**Lectures on Fibre Bundles and Differential Geometry**

by

**J.L. Koszul**-

**Tata Institute of Fundamental Research**

From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).

(

**9480**views)

**Functional Differential Geometry**

by

**Gerald Jay Sussman, Jack Wisdom**-

**MIT**

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.

(

**10305**views)

**Ricci Flow and the Poincare Conjecture**

by

**John Morgan, Gang Tian**-

**American Mathematical Society**

This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.

(

**11895**views)

**Projective Differential Geometry Of Curves And Surfaces**

by

**Ernest Preston Lane**-

**The University Of Chicago Press**

Projective Differential Geometry is largely a product of the first three decades of the twentieth century. The theory has been developed in five or more different languages, by three or four well-recognized methods, in various and sundry notations.

(

**4285**views)