Mathematics Books Riemannian Geometry Books

An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity

An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity

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):

s272 Pages
Similar Books
Lecture     Notes Riemannian Geometry By Andreas Strombergsson

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.

s241 Pages
Basic Riemannian Geometry

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.

s29 Pages
Riemannian manifolds with geometric structures

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.

s187 Pages
Lectures on Riemannian Geometry Complex Manifolds

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.

s38 Pages
Semi Riemann Geometry and General Relativity

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.

s251 Pages
Riemannian               Geometry (Moller J.M pdf)

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.

s59 Pages
A               Course in Riemannian Geometry(Wilkins D.R pdf)

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.

s72 Pages
An Introduction to Riemannian Geometry

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.

s111 Pages