Course Archives Theoretical Statistics and Mathematics Unit

Course: Differential Geometry and Lie Groups Level: Undergraduate Time: Currently not offered

Syllabus Past Exams Syllabus: Manifolds and Lie groups, Frobenius theorem, Tensors and Differential forms, Stokes theorem, Riemannian metrics, Levi-Civita connection, Curvature tensor and fundamental forms. Reference Texts: (a) S. Kumaresan: A course in Differential Geometry and Lie Groups. (b) T. Aubin: A course in Differential Geometry. (c) John Lee: Introduction to Smooth Manifold. (d) John Lee: Introduction to Riemannian Manifolds. (e) W.Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry. (f) F.Warner: Foundations of Differentiable Manifolds and Lie Groups. (g) L.Tu: Introduction to Manifolds. (h) L.Tu: Differential Geometry (Connections, Curvature and Characteristic Classes). Top of the page Past Exams

Midterm 24.pdf Semestral 24.pdf Supplementary and Back Paper 24.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]