Instructor. Michael Anderson, Math 4-110.
E-mail: anderson@math.sunysb.edu, Phone: 632-8269.
Lectures: Tu/Th: 2:20-3:40, in Physics P117.

Office Hours. MW 1:30-3pm, and by appointment.

Course Description. This semester course will cover basic issues in Riemannian geometry: metrics, geodesics, connections and curvature. Both conceptual and computational aspects (examples) will be emphasized. This will allow a number of possible directions to pursue in the following semester, MAT 569. (The topic for 569 in Spring 15 will be decided at the end of this semester by your vote and instructor's recommendation).

The syllabus is most of the main topics in Chapters 1-6 of Petersen's text. The presentation of this material in the lectures will often be quite different than that in the text.

Prerequistes MAT 530 and 531, or the equivalent.

Text. Peter Petersen, Riemannian Geometry, 2nd Edition, Springer Verlag.


There are many other good texts on this subject. Some other sources you might like to look at are:

• M. doCarmo, Riemannian Geometry
• M. Spivak, A Comprehensive Introduction to Differential Geometry, vol. I, II, Publish or Perish,
• S. Gallot, D. Hulin and J. Lafontaine, Geometrie Riemannienne, (in French)
• D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen (in German)
• J. Jost, Riemannian Geometry and Geometric Analysis

Assignments and Grading. There will be occasional reading assignments from the text, and several homework assignments. The course grade is based on your work on these assignments.
Assignments will appear on this page during the course of the semester.

Homework 1, Due October 9, you can find here (PDF) (Corrected version).
Homework 2, Due 30 October, is here (PDF)
Homework 3, Due 4 Dec is here (PDF)

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