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Riemannian Geometry Books

Riemannian Geometry Books

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 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):

s 241Pages

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):

s 272Pages

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):

s 317Pages

Basic Riemannian Geometry

This note covers the following topics: What is a manifold, Analysis on Riemannian manifolds, Geodesics and curvature, The Bishop volume comparison theorem.

Author(s):

s 29Pages

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):

s 187Pages

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):

s 38Pages

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, 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.

Author(s):

s 251Pages

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):

s NAPages

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):

s 59Pages

A Course in Riemannian Geometry(Wilkins D.R pdf)

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.

Author(s):

s 72Pages

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):

s 111Pages