— Differential Geometry

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Riemannian metrics, connections, geodesics, Gauss lemma, convex neighborhoods, curvature tensor, Ricci and scalar curvature, connections and curvature on vector bundles. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 240A — Differential Geometry (4 units) Course Description: Riemannian metrics, connections, geodesics, Gauss lemma, convex neighborhoods, curvature tensor, Ricci and scalar curvature, connections and curvature on vector bundles. Prerequisite(s): MAT 201A ; MAT 239 ; MAT 250A & MAT 250B highly recommended; intended primarily for second-year graduate students. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 240A — Differential Geometry (4 units) Course Description: Riemannian metrics, connections, geodesics, Gauss lemma, convex neighborhoods, curvature tensor, Ricci and scalar curvature, connections and curvature on vector bundles. Prerequisite(s): MAT 201A ; MAT 239 ; MAT 250A & MAT 250B highly recommended; intended primarily for second-year graduate students. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.