MTH 674: Differential Geometry of Manifolds
Spring 2005

Hotlist:   Announcements,   Homework.

Tevian Dray

Office hours: See the announcements page

Phone: 737-5159

Email: tevian@math.oregonstate.edu

Class Meetings:

Section 001: MWF 11 AM in Kidder 356

Required Text:

Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry

Optional Text:

Bishop & Goldberg, Tensor Analysis on Manifolds

Web Site: http://math.oregonstate.edu/~tevian/onid/MTH674

Check the announcements page frequently.

Course Evaluation:

There will be (roughly) weekly homework as well as two take-home exams.

Course Description:

This course is an introduction to differential geometry, emphasizing geometric content rather than symbolic manipulation. The course covers:

• Manifolds
• Tensors
• Tensor Derivatives
• Integration on Manifolds

As time permits, we will apply these ideas in the context of two main classes of examples, namely Lie groups and Riemannian manifolds.

Prerequisites:

Elementary topology and analysis are needed to define the basic structures in this course, and should therefore be regarded as prerequisites even though much of the material can be understood without them. A working knowledge of multivariable calculus and linear algebra are also needed.

tevian@math.oregonstate.edu