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Differential Geometry
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Differential Geometry
Differential geometry is the language of modern physics as well as an area of mathematical delight. Typically, one considers sets which are manifolds (that is, locally resemble Euclidean space) and which come equipped with a measure of distances. In particular, this includes classical studies of the curvature of curves and surfaces. Local questions both apply and help study differential equations; global questions often invoke algebraic topology.
http://www.math.niu.edu/~rusin/known-math/index/53-XX.html - profile

Introduction to Differential Geometry and General Relativity
Presents the lecture notes of Stefan Waner of Hofstra University on this form of geometry and how it relates to relativity.
http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html - profile

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