**A Sampler of Riemann-Finsler Geometry**

by D. Bao, R. Bryant, S. Chern, Z. Shen

**Publisher**: Cambridge University Press 2004**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.

Download or read it online here:

**Download link**

(multiple PDF files)

## Similar books

**Complex Analysis on Riemann Surfaces**

by

**Curtis McMullen**-

**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.

(

**8159**views)

**Lectures on Differential Geometry**

by

**John Douglas Moore**-

**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.

(

**5274**views)

**Riemannian Geometry**

by

**Ilkka Holopainen, Tuomas Sahlsten**

Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.

(

**2437**views)

**Holonomy Groups in Riemannian Geometry**

by

**Andrew Clarke, Bianca Santoro**-

**arXiv**

The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.

(

**3295**views)