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Riemannian Geometry University of Chicago
This PDF covers the following topics related to Riemannian Geometry : Smooth manifolds, Some examples, Riemannian metrics, Geodesics, Curvature, Lie groups and homogeneous spaces, Characteristic classes, Hodge theory, Minimal surfaces.
Author(s): Danny Calegari, University of Chicago
54 Pages
Lecture Notes Riemannian Geometry By Andreas Strombergsson
This note explains the following topics: Manifolds, Tangent spaces and the tangent bundle, Riemannian manifolds, Geodesics, The fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields, Conjugate points.
Author(s): Andreas Strombergsson
241 Pages
Lectures on Geodesics Riemannian Geometry
Aim of this book is to give a fairly complete treatment of the foundations of Riemannian geometry through the tangent bundle and the geodesic flow on it. Topics covered includes: Sprays, Linear connections, Riemannian manifolds, Geodesics, Canonical connection, Sectional Curvature and metric structure.
Author(s): M. Berger
317 Pages
This note covers the following topics: What is a manifold, Analysis on Riemannian manifolds, Geodesics and curvature, The Bishop volume comparison theorem.
Author(s): F.E. Burstall
29 Pages
Riemannian manifolds with geometric structures
The main aim of this book is to get a way of union of various differential geometric structures on Riemannian manifolds in one scheme.
Author(s): Alexander A. Ermolitski
187 Pages
Lectures on Riemannian Geometry Complex Manifolds
This is an introductory lecture note on the geometry of complex manifolds. Topics discussed are: almost complex structures and complex structures on a Riemannian manifold, symplectic manifolds, Kahler manifolds and Calabi-Yau manifolds,hyperkahler geometries.
Author(s): Stefan Vandoren
38 Pages
W. M. Boothby, Introduction to Differentiable Manifolds and Riemannian Geometry (djvu)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
An Introduction to Riemannian Geometry
This note covers the following topics: Differentiable Manifolds, The Tangent Space, The Tangent Bundle, Riemannian Manifolds, The Levi-Civita Connection, Geodesics, The Riemann Curvature Tensor, Curvature and Local Geometry.
Author(s): Sigmundur Gudmundsson
111 PagesAdvertisement
