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Math 572-1 Differential Geometry 4(3+1) 

Definition and examples of manifolds, submanifolds, Immersions and submersions, Liegroups, Equivalence classes of curves and derivations, Tangent vectors, The tangent bundle of a manifold, Vector fields and flows, Lie derivatives and bracket, Differential forms,Integration on manifolds.

 

Reference :

Differentiable Manifolds, By Yozo Matsushima, Translated by E. T. Kobayashi, Marcel Dekker Inc, 1972.

 

 

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