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: Lectures on Differential GeometryLectures on Differential Geometry
by - University of California
Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.
(7044 views)
Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(9996 views)
Book cover: Riemannian Geometry: Definitions, Pictures, and ResultsRiemannian Geometry: Definitions, Pictures, and Results
by - arXiv
A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.
(2758 views)
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.
(6298 views)