University of Connecticut

Course Info

MATH 5031: Topics in Geometry and Topology II

Description: Advanced topics in geometry and topology. With a change of content this course is repeatable to a maximum of twelve credits.

Credits: 3

MATH 5031 - Section 1: Sub-Riemannian Geometry

Description: A sub-Riemannian manifold is a smooth manifold equipped with a distance measured by moving along so-called horizontal curves. One can think of a constrained movement model. Besides basic definitions and fundamental facts from the field (Hoermander's condition, Rashevskii-Chow theorem, normal and abnormal geodesics, measures on such manifolds etc), we will consider examples and explore connections to PDEs. I'll try to keep the course self-contained.

Credits: 3

Sections: Spring 2016 on Storrs Campus

PSCourseID Course Sec Comp Time Room Instructor
15289 5031 001 Lecture TuTh 09:30:00 AM-10:45:00 AM MSB211 Gordina, Maria