Logo

A Sampler of Riemann-Finsler Geometry

Large book cover: A Sampler of Riemann-Finsler Geometry

A Sampler of Riemann-Finsler Geometry
by

Publisher: Cambridge University Press
ISBN/ASIN: 0521831814
ISBN-13: 9780521831819
Number of pages: 376

Description:
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently undergone significant development but have not had a detailed pedagogical treatment elsewhere. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles, and include a variety of instructive examples.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Medians and Means in Riemannian Geometry: Existence, Uniqueness and ComputationMedians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by - arXiv
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. The existence and uniqueness results of local medians are given. We propose a subgradient algorithm and prove its convergence.
(5507 views)
Book cover: Lectures notes on compact Riemann surfacesLectures notes on compact Riemann surfaces
by - arXiv.org
An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.
(546 views)
Book cover: A Course in Riemannian GeometryA Course in Riemannian Geometry
by - Trinity College, Dublin
From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
(6592 views)
Book cover: An Introduction to Riemannian Geometry with Applications to Mechanics and RelativityAn Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
by
Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).
(3834 views)