This booklet offers the formerly unpublished notes from a sequence of lectures given via the writer on the Tata Institute of basic learn in 1961. easy fabric on affine connections and on in the neighborhood or globally Riemannian and Hermitian symmetric areas is roofed. the ultimate bankruptcy proves the elemental theorems on maximal compact subgroups of Lie teams. Readers can be accustomed to differential manifolds and the user-friendly idea of Lie teams and Lie algebras.
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