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Syllabus [ PDF ] Course Description An introductory course on Riemannian Geometry targeted at: postgraduate students in mathematics both pure and applied ; advanced undergraduate students who are strongly interested in geometry and topology; physics students who need background knowledge for studying general relativity. Tentative Outline Geometry of Euclidean Hypersurfaces Riemannian Metrics and Connections Geodesics and Parallel Transport Curvatures of Riemannian Manifolds Jacobi Fields and Do carmo riemannian geometry homework Forms Introduction to Ricci Flow Prerequisites Good understanding of differentiable manifolds and tensor calculus MATH or do carmo homework Reference Books Free books PDFs available within campus network Riemannian Manifolds by John M.
Lee [ here ] Riemannian Geometry by S. Gallot, D. Hulin, J. Lafontaine [ here ] Riemannian Geometry by Peter Petersen [ here ] Riemannian Geometry and Geometric Analysis by Jürgen Jost [ here ] Pay books Hamilton's Ricci Flow Chapter 1 by B. Chow, P. Lu, L. Ni Riemannian Geometry by M. Do Carmo A Comprehensive Introduction to Differential Geometry, Vol.
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Introduction to Differential Geometry: Curves
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