introduction to riemannian geometry j er ome bertrand 1 abstract this course is meant to be an introduction to riemannian geometry with some emphasis on the metric measure space point ...
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...Introduction to riemannian geometry j er ome bertrand abstract this course is meant be an with some emphasis on the metric measure space point of view second goal introduce audience analysis manifolds if time permits i will also provide a sketchy comparison e properties or spaces satsifying curvature bounds more specically topics adressed following dierential reminder boundary and submanifolds examples vector elds tangent bundle brief forms metrics nash s isometric embedding theorem levi civita connection geodesics exponential map manifold viewed as normal coordinates densities volume estimates math univ toulouse fr sphere hyperbolic variation formula jacobi gauss lemma conjugate points laplace beltrami operator divergence maximum principle bochner functions optional references gallot d hulin lafontaine springer third edition m do carmo birkh auser chavel eigenvalues in elsevier...