## Instructor:

Christopher Cashen, Ph.D.

Email: cashen AT math * utah *edu

Office: JWB 126

Web page: http://www.math.utah.edu/~cashen

Office Hours: by appointment

## Meetings:

Time: TH 2:00-3:20

Location: LCB 222
## Prerequisites:

MATH 6510 Differentiable Manifolds

MATH 6520 Introduction to Algebraic Topology
## Text:

*Riemannian Geometry, second edition* by Peter Petersen.

ISBN-13: 978-0387-29246-5

Cost: $52.00 (U of U Bookstore, Used)

## Course Description:

Riemannian metrics, connections, geodesics, normal coordinates,
completeness, spaces of constant curvature, submanifolds,
Cartan-Hadamard theorem, Alexandrov and Topogonov comparison theorems,
closed geodesics, cut locus, symmetric spaces.
## Evaluation

Homework exercises will be assigned daily. Students may collaborate on
the assignments. Key contributions should receive appropriate attribution.
## Faculty and Student Responsibilities:

All students are expected to maintain professional behavior in the classroom setting, according to the Student Code, spelled out in the Student Handbook. Students have specific rights in the classroom as detailed in Article III of the Code. The Code also specifies proscribed conduct (Article XI) that involves cheating on tests, plagiarism, and/or collusion, as well as fraud, theft, etc. Students should read the Code carefully and know they are responsible for the content. According to Faculty Rules and Regulations, it is the faculty responsibility to enforce responsible classroom behaviors, beginning with verbal warnings and progressing to dismissal from class and a failing grade. Students have the right to appeal such action to the Student Behavior Committee.
## Students with Disabilities:

The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in the class, reasonable prior notice needs to be given to the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations.

All written information in this course can be made available in alternative format with prior notification to the Center for Disability Services.

*The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification. *