Math 212, Differential Geometry, Spring 2009

• Lectures: MW 12:00-1:45pm, JBE 273

• Text: Riemannian Geometry Manfredo do Carmo, Birkhauser 1992

• Instructor: Viktor Ginzburg; office: 353C Baskin Eng.,
  email: ginzburg(at)math.ucsc.edu, phone: 459-2218

• Office Hours: M 1:45-3:00pm, T 3:00-4:00pm or by appointment

• Tentative Syllabus: The main theme of this course is classical Riemannian geometry. The topics to be covered include Riemannian metrics, connections and parallel transport, geodesics, the exponential map, the curvature tensor, Jacobi fields, complete manifolds. At the end of this course we will discuss connections between Riemannian geometry and topology of manifolds (the Hadamard theorem and the Gauss--Bonnet theorem).

• Coursework: There will be weekly homework sets and a take-home final.