The module is a course on differential geometry aimed at students who have had some exposure to differentiable manifolds. Major topics include: Riemannian metrics, connections, curvatures, warped products, Hyperbolic spaces, metrics on Lie Groups, Riemannian submersions, geodesic and distance, sectional curvature comparison, Killing fields, Hodge Theory, harmonic forms, curvature tensors, curvature operators.
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