MAT 569

Title: Differential Geometry II

Description: First and second variation formulas, conjugate points and Jacobi fields, comparison theory. Curvature and fundamental group: spaces of positive and of negative curvature, space forms, Lie groups, homogeneous spaces, and symmetric spaces. Different topics may be covered depending on the choice of the instructor.

Offered: Spring

Prerequisite: MAT 531, MAT 568

Credits: 3

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