Differential Geometry

MATH 6455

MW Lecture 11:00-12:15, College of Computing Room 53 INSTRUCTOR: John McCuan Office hours MW 2:00-3:00 or by appointment

Prerequisite text:

Differential Geometry of Curves and Surfaces by M.P. do Carmo

Main text: Differential Geometry in the Large by Heinz Hopf

Supplementary texts:

Riemannian Geometry by M.P. do Carmo

Semi-Riemannian Geometry With Applications to Relativity by Barrett O'Neill

A Comprehensive Introduction to Differential Geometry Vol. I-V by M. Spivak
Final Exam Friday May 1, 11:20-2:10


Spring Semester 2026 Calendar
Monday, January 12	Classes begin
Monday, January 19	Holiday
Monday-Friday, March 23-25	Spring Break
Monday, April 27	Last lecture
Friday, May 1, 11:20-2:10	Final exam

Lecture Schedule and Homework

Additional Materials

Notes

Additional Materials from 2024

Lecture 1 Outline
Lecture 1 Question
Lecture 1 Notes (table of contents)
Lecture 1 Historical Table
Lecture 1 Charts
Lecture 1 Calculations

If you have suggestions for improvements to this course site or you did not find/could not access something that you should have been able to, send mail to mccuan@math.gatech.edu