Course Archives Theoretical Statistics and Mathematics Unit

Course: Differential Geometry and Lie Groups Instructor: Jishnu Biswas Room: G26 Level: Undergraduate Time: Currently 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). Evaluation: Mid-term 35 marks Assignments 15 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf 26.pdf Semestral 24.pdf 26.pdf Supplementary and Back Paper 24.pdf 26.pdf Top of the page

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