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OverviewFinsler 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. Full Product DetailsAuthor: Xinyue Cheng , Zhongmin ShenPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2012 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.340kg ISBN: 9783642248870ISBN 10: 364224887 Pages: 158 Publication Date: 07 September 2012 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsRanders 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 MetricsReviewsFrom the book reviews: The book under review is concerned with the simplest non-Riemannian Finsler metrics: the Randers metrics. It contains the most important results about this kind of Finsler metrics obtained in recent years. this text is a treasure for every researcher interested in Finsler geometry. (Rafael Santamaria, Mathematical Reviews, April, 2014) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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