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Titlebook: Homogeneous Finsler Spaces; Shaoqiang Deng Book 2012 Springer Science+Business Media New York 2012 Finsler geometry.Killing vector fields.

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發(fā)表于 2025-3-21 18:48:08 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Homogeneous Finsler Spaces
編輯Shaoqiang Deng
視頻videohttp://file.papertrans.cn/429/428114/428114.mp4
概述Presents the most recent results on the applications of Lie theory to Finsler geometry.Provides an accessible introduction to Finsler geometry that allows the reader to quickly understand topics and t
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Homogeneous Finsler Spaces;  Shaoqiang Deng Book 2012 Springer Science+Business Media New York 2012 Finsler geometry.Killing vector fields.
描述Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems. This book contains a series of new results obtained by the author and collaborators during the last decade. The topic of Finsler geometry has developed rapidly in recent years. One of the main reasons for its surge in development is its use in many scientific fields, such as general relativity, mathematical biology, and phycology (study of algae).?This monograph introduces the most recent developments in the study of Lie groups and homogeneous Finsler spaces, ?leading the reader to directions for further development. The book contains many interesting results such as a Finslerian version of ?the Myers-Steenrod Theorem, the existence theorem for invariant non-Riemannian Finsler metrics on coset spaces, the Berwaldian characterization of globally symmetric Finsler spaces, the construction of examples of reversible non-Berwaldian Finsler spaces with vanishing S-curvature, and a classification of homogeneous Randers spaces with isotropic S-curvature and positive flag curvatu
出版日期Book 2012
關(guān)鍵詞Finsler geometry; Killing vector fields; Lie theory; Myers-Steenrod Theorem; Randers spaces; isometry gro
版次1
doihttps://doi.org/10.1007/978-1-4614-4244-8
isbn_softcover978-1-4899-9476-9
isbn_ebook978-1-4614-4244-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media New York 2012
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沙發(fā)
發(fā)表于 2025-3-21 23:48:04 | 只看該作者
Homogeneous Finsler Spaces978-1-4614-4244-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
板凳
發(fā)表于 2025-3-22 03:20:29 | 只看該作者
地板
發(fā)表于 2025-3-22 06:35:23 | 只看該作者
Shaoqiang DengPresents the most recent results on the applications of Lie theory to Finsler geometry.Provides an accessible introduction to Finsler geometry that allows the reader to quickly understand topics and t
5#
發(fā)表于 2025-3-22 10:00:00 | 只看該作者
6#
發(fā)表于 2025-3-22 14:15:15 | 只看該作者
7#
發(fā)表于 2025-3-22 20:21:41 | 只看該作者
Homogeneous Finsler Spaces,s not diffeomorphic to a rank-one Riemannian symmetric space, then its degree of symmetry can be realized by a non-Riemannian Finsler metric. Finally, in Sect. 4.5, we study fourth-root homogeneous Finsler metrics. As an explicit example, we give a classification of all invariant fourth-root Finsler metrics on Grassmannian manifolds.
8#
發(fā)表于 2025-3-23 00:37:43 | 只看該作者
Introduction to Finsler Geometry,e notions of Berwald spaces and Landsberg spaces. In Sect. ., we recall Shen’s definition of S-curvature of Finsler spaces. Finally, in Sect.., we collect some results on Finsler spaces of constant flag curvature as well as Einstein–Finsler spaces, and present the Akbar–Zadeh theorem.
9#
發(fā)表于 2025-3-23 03:10:10 | 只看該作者
Lie Groups and Homogeneous Spaces,differential geometry. Section . is devoted to introducing the structure and classification of complex semisimple Lie algebras. In Sect. ., we collect some important results on homogeneous Riemannian manifolds. Finally, in Sect. ., we present the theory of Riemannian symmetric spaces.
10#
發(fā)表于 2025-3-23 09:11:03 | 只看該作者
Symmetric Finsler Spaces,ct. 5.4, we prove some interesting rigidity results on symmetric Finsler spaces. Finally, in Sect. 5.1, we study complex structures on symmetric Finsler spaces and obtain a complete classification of the complex symmetric Finsler spaces.
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