This section contains free e-books and guides on Riemannian Geometry, some of the resources in this section can be viewed online and some of them can be downloaded.
Lecture Notes Riemannian Geometry By Andreas StrombergssonAndreas
| 241 Pages
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,
Lectures on Geodesics Riemannian GeometryM. BergerPDF
| 317 Pages
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.
Basic Riemannian GeometryF.E. BurstallPDF
| 29 Pages
This note covers the following
topics: What is a manifold, Analysis on Riemannian manifolds, Geodesics and
curvature, The Bishop volume comparison theorem.
Riemannian Geometry Lecture NotesH.M. KhudaverdianPDF
| 107 Pages
This lecture note covers
the following topics: Riemannian manifolds, Covariant differentiaion, Parallel
transport and geodesics, Surfaces in E3 and Curvtature tensor.
Lectures on Riemannian Geometry Complex ManifoldsStefan VandorenPDF
| 38 Pages
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
Semi Riemann Geometry and General RelativityShlomoSternbergPDF
| 251 Pages
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,
Einsteinís 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.
|W. M. Boothby, Introduction to Differentiable Manifolds and Riemannian Geometry (djvu)|
Riemannian Geometry (Moller J.M pdf)Jesper Michael MollerPDF
| 59 Pages
note covers the following topics: Smooth manifolds, Riemannian
manifolds, Curvature, Space-times, Multilinear Algebra and Non-euclidean
A Course in Riemannian Geometry(Wilkins D.R pdf)David R.
| 72 Pages
This note covers the following topics: Smooth Manifolds ,
Tangent Spaces, Affine Connections on Smooth Manifolds, Riemannian
Manifolds, Geometry of Surfaces in R3, Geodesics in Riemannian
Manifolds, Complete Riemannian Manifolds and Jacobi Fields.
An Introduction to Riemannian GeometrySigmundur
| 111 Pages
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