
A Sampler of Riemann-Finsler Geometry
Cambridge University Press
Published on 9. September 2010
Book
Paperback/Softback
376 pages
978-0-521-16873-1 (ISBN)
Description
Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have undergone significant development but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry and parametrised jet bundles, and include a variety of instructive examples.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 21 mm
Weight
570 gr
ISBN-13
978-0-521-16873-1 (9780521168731)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Editor
University of Houston
Duke University, North Carolina
University of California, Berkeley
Purdue University, Indiana
Content
Preface; Synopses; 1. Volumes on normed and Finsler spaces J. C. Alverez Paiva and A. C. Thompson; 2. Anisotropic and crystalline mean curvature flow Giovanni Bellettini; 3. Finsler geometry on complex vector bundles Tadashi Aikou; 4. Finsler geometry of holomorphic jet bundles Karen Chandler and Pit-Mann Wong; 5. Ricci and flag curvatures in Finsler geometry David Bao and Colleen Robles; 6. Nonreversible Finsler metrics of positive flag curvature Hans-Bert Rademacher; 7. Landsberg curvature, S-curvature and Riemann curvature Zhongmin Shen; Index.