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Home > Catalog > A Sampler of Riemann-Finsler Geometry
A Sampler of Riemann-Finsler Geometry
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Details

  • Page extent: 376 pages
  • Size: 234 x 156 mm
  • Weight: 0.53 kg
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Paperback

 (ISBN-13: 9780521168731)

  • Also available in Hardback
  • Published September 2010

Manufactured on demand: supplied direct from the printer

$64.99 (Z)

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. 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 parametrized jet bundles, and include a variety of instructive examples.

Contents

Preface; Synopses; 1. Volumes on normed and Finsler spaces J. C. Álverez 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.

Contributors

J. C. Álverez Paiva, A. C. Thompson, Giovanni Bellettini, Tadashi Aikou, Karen Chandler, Pit-Mann Wong, David Bao, Colleen Robles, Hans-Bert Rademacher, Zhongmin Shen

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