Stony Brook University 3 credits MAT
A broad introduction to the fundamentals of modern Riemannian geometry, including major ideas and useful techniques: holonomy groups, symmetric spaces; Riemannian submersions; constructing manifolds of non-negative sectional curvature; Ricci and scalar curvature; Weyl curvature and conformal geometry; harmonic forms and the Hodge theorem; the Bochner technique; the Bishop-Gromov inequality; the Cheeger-Gromoll splitting theorem; Gromov-Hausdorff convergence. 3 credits Prerequisite: MAT 568 Grading Letter graded (A, A-, B+, etc.)
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