Bilkent University Logo

Bilkent University

Online Academic Catalog

Undergraduate and Graduate Programs 2019-2020


MATH 645 Riemannian Geometry I

Smooth Manifolds, Riemannian Metrics and Levi-Civita Connections. Covariant Differentiation of Vector Fields. Riemannian Manifolds. Curvature, Geodesics, Exponential Map, Normal Coordinates. Sectional, Ricci and Scalar Curvatures. Gradient, Divergence and Laplacian Operators. Riemannian Submanifolds, Induced Connection, Second Fundamental Form, Formulae of Gauss and Weingarten. Equations of Gauss, Codazzi and Ricci. Credit units: 3 ECTS Credit units: 5.

Bilkent University Main Page

Last regenerated automatically on September 16, 2019 by OAC - Online Academic Catalog Software