Special topics in Geometry

Special topics in Geometry

Credit: 4

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Outline of the course

Differential forms, integration on manifolds, foliations on smooth manifolds, foliations on Riemannian manifolds,  foliation and a mixed curvature,  foliation and submanifolds, de Rham cohomology, variational formulas and Myer's theorem,

Reference

Guillot, Hulot and Lafontaine ; Riemannian geometry.

Textbooks

 1)Kobayashi and Nomizu;  Foundations of differential geometry

2)  T. Aubin; A course in differential Geometry.

3)  S. Morita; Geometry of differential forms.