MATH 646 Riemannian Geometry II
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The Gauss lemma, Riemannian distance, Riemannian completeness, Hopf-Rinow theorem. Jacobi fields, symmetric spaces, isometries and killing vector fields. First and second variations, the index form, conjugate and focal points, homogeneous spaces, lie groups and lie algebras. Complex and almost complex manifolds. Hermitian and Kaehlerian manifolds.
Credit units: 3 ECTS Credit units: 5.
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