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＜電子ブック＞
Finsler Geometry : An Approach via Randers Spaces / by Xinyue Cheng, Zhongmin Shen

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
大きさ	VIII, 150 p : online resource
著者標目	*Cheng, Xinyue author Shen, Zhongmin author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Geometry LCSH:Mathematical physics FREE:Differential Geometry FREE:Geometry FREE:Mathematical Methods in Physics
一般注記	Randers Spaces -- Randers Metrics and Geodesics -- Randers Metrics of Isotropic S-Curvature -- Riemann Curvature and Ricci Curvature -- Projective Geometry of Randers Spaces -- Randers Metrics with Special Riemann Curvature Properties -- Randers Metrics of Weakly Isotropic Flag Curvature.-Projectively Flat Randers Metrics -- Conformal Geometry of Randers Metrics -- Dually Flat Randers Metrics "Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields. Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA HTTP:URL=https://doi.org/10.1007/978-3-642-24888-7

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