Differential Geometry (445-1-81)

Instructors

Jared Wunsch
8474915580
Lunt 212

Meeting Info

Lunt Hall 101: Mon, Wed, Fri 2:00PM - 2:50PM

Overview of class

A basic introduction to Riemannian geometry. Prerequisites: Math 440-1,2,3.

Syllabus:
Riemannian metrics, and examples, esp. symmetric spaces
Connections; Levi-Civita connection
Geodesics
Exponential map
Tubular neighborhoods
Hopf-Rinow theorem
Curvature
Submanifolds; second fundamental form.
Jacobi fields, conjugate points
Comparison theorems

Text: "Introduction to Riemannian Manifolds" by John Lee.

Grading will be based on written homework and an oral presentation.

Class Materials (Required)

978-3319917559
Introduction to Riemannian Manifolds by Lee, John M

Class Materials (Suggested)

No materials suggested