Math 7711:
Riemannian Geometry

Autumn 2019

Instructor: Andrzej Derdzinski


general information
.pdf day-by-day list of topics
.pdf notes on differential geometry
.pdf additional notes: Distributions and the Frobenius Theorem
.pdf additional notes: Metrics of Constant Curvature
.pdf additional notes: Inner Products up to a Factor
.pdf additional notes: Conformal Flatness
.pdf additional notes: Algebraic Curvature Tensors
.pdf additional notes: Totally Geodesic Submanifolds
.pdf additional notes: Consequences of the Second Bianchi Identity
.pdf additional notes: Ricci-Hessian Equations
.pdf additional notes: Tractor Connections
.pdf additional notes: Projective Spaces and Grassmannians
.pdf additional notes: Einstein Metrics in Dimension Four
.pdf additional notes: Kähler Geometry
.pdf Topics for Math 6702
Milnor’s octahedron
The tetrahedron version of Milnor’s octahedron  (.pdf file created by Ivo Terek Couto)
course description