Differential Geometry

Differential Geometry
A rigorous treatment of the theory of differential geometry.
MATH
565
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMath 342 or equivalent.
 TaughtFall Contact Department, Winter Contact Department, Spring Contact Department, Summer Contact Department
Course Outcomes

Learning Outcomes

Students should achieve mastery of the topics listed in the minimal learning outcomes section of the Math 565 Wiki page. This means that they should know all relevant definitions, full statements of the major theorems, and examples of the various concepts. Further, students should be able to solve non-trivial problems related to these concepts, and prove theorems in analogy to proofs given by the instructor.

Overview

  1. Differential topology
  2. Riemannian metrics
  3. Geodesics
  4. Curvature
  5. Integration on manifolds