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Riemannian Geometry by Shiping Liu USTC
This PDF covers the following topics related to Riemannian Geometry : Introduction, Riemannian Metric, Geodesics, Connections, Curvatures, Space forms and Jacobi fields, Comparison Theorem, Candidates for Synthetic Curvature Conditions.
Author(s): Shiping Liu, Department of Mathematics, USTC
218 Pages
Riemannian Geometry by Eckhard Meinrenken
This PDF covers the following topics related to Riemannian Geometry : Manifolds, Examples of manifolds, Submanifolds, Tangent spaces,Tangent map, Tangent bundle, Vector fields as derivations, Flows of vector fields, Geometric interpretation of the Lie bracket, Lie groups and Lie algebras, Frobenius’ theorem, Riemannian metrics, Existence of Riemannian metrics, Length of curves, Connections and parallel transport, Geodesics, The Hopf-Rinow Theorem, The curvature tensor, Connections on vector bundles.
Author(s): Eckhard Meinrenken, University of Toronto
58 Pages
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
Riemannian Geometry Lecture Notes
This lecture note covers the following topics: Riemannian manifolds, Covariant differentiaion, Parallel transport and geodesics, Surfaces in E3 and Curvtature tensor.
Author(s): H.M. Khudaverdian
107 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
Riemannian Geometry (Moller J.M pdf)
This note covers the following topics: Smooth manifolds, Riemannian manifolds, Curvature, Space-times, Multilinear Algebra and Non-euclidean geometry.
Author(s): Jesper Michael Moller
59 PagesAdvertisement
