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.
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.
https://www.isibang.ac.in/~adean/infsys/database/Bmath/DL.html
- Teacher: Maneesh Thakur