A sampler of Riemann-Finsler geometry
Author(s)
Bibliographic Information
A sampler of Riemann-Finsler geometry
(Mathematical Sciences Research Institute publications, 50)
Cambridge University Press, 2004
- : hc
Available at 32 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hcC||Sampler-104068215
Note
Includes bibliographical references and index
Description and Table of Contents
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.
Table of Contents
- 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.
by "Nielsen BookData"