Math 6702:
Differential Geometry

Spring 2024

Instructor: Andrzej Derdzinski

.pdf day-by-day list of topics
.pdf notes: Differential Geometry   [DG]
.pdf notes: Distributions and the Frobenius Theorem   [DF]
.pdf notes: Projective Spaces and Grassmannians   [PS]
.pdf additional notes: Algebraic Curvature Tensors   [AC]
.pdf additional notes: Metrics of Constant Curvature
The Topology of Fiber Bundles, Lecture Notes by R. L. Cohen
Chapter 1 of the Arthur L. Besse book Einstein Manifolds
.pdf additional notes: Strong Convexity   [SC]
.pdf additional notes: Inner Products up to a Factor   [IP]
.pdf additional notes: Tractor Connections   [TC]
.pdf additional notes: Conformal Flatness   [CF]
further references
Milnor’s octahedron
The tetrahedron version of Milnor’s octahedron  (.pdf file created by Ivo Terek Couto)
course description