A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications)

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Название:A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications)

Автор: David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen

Издательство: Cambridge University Press

ISBN: 0521831814

Дата издания:2004-11-01

Страниц: 376

Язык:Английский

Формат:PDF

Размер: 2 MB

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.