A Sampler of Riemann-Finsler Geometry (Hardcover, New)

This book presents an expository account of six important topics in Riemann-Finsler geometry suitable for in a special topics course in graduate level differential geometry. These topics have recently undergone significant development, but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of geometrical research. Rademacher gives a detailed account of his Sphere Theorem for non-reversible Finsler metrics. Alvarez and Thompson present an accessible discussion of the picture which emerges from their search for a satisfactory notion of volume on Finsler manifolds. Wong studies the geometry of holomorphic jet bundles, and finds that Finsler metrics play an essential role. Sabau studies protein production in cells from the Finslerian perspective of path spaces, employing both a local stability analysis of the first order system, and a KCC analysis of the related second order system. Shen's article discusses Finsler metrics whose flag curvature depends on the location and the direction of the flag poles, but not on the remaining features of the flags. Bao and Robles focus on Randers spaces of constant flag curvature or constant Ric

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Mathematical Sciences Research Institute Publications
Release date:	November 2004
First published:	2004
Editors:	David Bao • Robert L. Bryant • Shiing-shen Chern • Zhongmin Shen
Dimensions:	234 x 156 x 22mm (L x W x T)
Format:	Hardcover
Pages:	376
Edition:	New
ISBN-13:	978-0-521-83181-9
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	0-521-83181-4
Barcode:	9780521831819

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