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From Diffgeom
Revision as of 20:13, 7 July 2007 by Anirbit (talk) (Creating a table of contents)
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This is Diffgeom (the Differential Geometry wiki).

Much of it is patterned on the Group Properties wiki.

It is currently in a very preliminary stage and may contain a number of factual errors. It is meant only for private use.

It may never become sturdy enough for public use!

Contents

Basics

Properties of connections

Basic kinds of metrics

Classification of differential manifolds according to the structure group

Curvatures

Classification of metrics according to curvatures

Special scalar functions on Riemannian manifolds

Various theorems

Results on Ricci curvature

Results on sectional curvature

Results relating curvature to topology


Special topics