Course Schedule - Spring Semester 2021

     

Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).
Additional information available here.

MATH 500 002 (CRN: 24422)

DIFFERENTIAL GEOMETRY

Long Title: DIFFERENTIAL GEOMETRY
Department: Mathematics
Instructor: Nelson, Jo
Meeting: 11:20AM - 12:40PM TR (25-JAN-2021 - 30-APR-2021) 
Part of Term: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisites: MATH 444 OR MATH 539
Section Max Enrollment: 20
Section Enrolled: 3
Total Cross-list Max Enrollment: 20
Total Cross-list Enrolled: 7
Enrollment data as of: 27-APR-2024 4:26PM
 
Additional Fees: None
 
Final Exam: No Final Exam
 
Description: A graduate course in smooth and Riemannian manifolds. Tensors, Riemannian metrics, differential forms. Lie derivatives. Distributions and foliations, including the Frobenius Theorem and an introduction to contact structures. Lie groups and the exponential map. Connections on Vector Bundles. Geodesics and completeness. Curvature. First and second variations of length and area. Jacobi Fields. Additional topics may vary from year to year. Cross-list: MATH 402. Mutually Exclusive: Cannot register for MATH 500 if student has credit for MATH 402. Repeatable for Credit.