**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

**Combinatorial Geometry with Application to Field Theory**

by

**Linfan Mao**-

**InfoQuest**

Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.

(

**9041**views)

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**5860**views)

**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.).

(

**5199**views)

**Cusps of Gauss Mappings**

by

**Thomas Banchoff, Terence Gaffney, Clint McCrory**-

**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.

(

**9969**views)