This PDF
covers the following topics related to Riemannian Geometry : Smooth manifolds,
Some examples, Riemannian metrics, Geodesics, Curvature, Lie groups and
homogeneous spaces, Characteristic classes, Hodge theory, Minimal surfaces.
This PDF
covers the following topics related to Riemannian Geometry : Smooth manifolds,
Some examples, Riemannian metrics, Geodesics, Curvature, Lie groups and
homogeneous spaces, Characteristic classes, Hodge theory, Minimal surfaces.
This note explains the following topics: Manifolds, Tangent
spaces and the tangent bundle, Riemannian manifolds, Geodesics, The
fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The
Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields,
Conjugate points.