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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 
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
An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
This book covers the following topics: Differentiable Manifolds, Differential Forms, Riemannian Manifolds, Curvature, Geometric Mechanics, Relativity.
Author(s): Leonor Godinho and Jose Natario
272 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
Semi Riemann Geometry and General Relativity
This book represents course notes for a one semester course at the undergraduate level giving an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus, preferably in the language of differential forms.
Author(s): ShlomoSternberg
251 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 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
