An Introduction to Riemann-Finsler Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Riemann-Finsler Geometry write by D. Bao. This book was released on 2012-12-06. An Introduction to Riemann-Finsler Geometry available in PDF, EPUB and Kindle. This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.
Riemann-Finsler Geometry
Riemann-Finsler Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemann-Finsler Geometry write by Shiing-Shen Chern. This book was released on 2005. Riemann-Finsler Geometry available in PDF, EPUB and Kindle. Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natural sciences. Curvature is the central concept in Riemann-Finsler geometry. This invaluable textbook presents detailed discussions on important curvatures such the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar curvature or isotropic S-curvature, etc. Instructive examples are given in abundance, for further description of some important geometric concepts. The text includes the most recent results, although many of the problems discussed are classical. Graduate students and researchers in differential geometry.
A Sampler of Riemann-Finsler Geometry
A Sampler of Riemann-Finsler Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Sampler of Riemann-Finsler Geometry write by David Dai-Wai Bao. This book was released on 2004-11. A Sampler of Riemann-Finsler Geometry available in PDF, EPUB and Kindle. These expository accounts treat issues related to volume, geodesics, curvature and mathematical biology, with instructive examples.
Lectures On Finsler Geometry
Lectures On Finsler Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures On Finsler Geometry write by Zhongmin Shen. This book was released on 2001-05-22. Lectures On Finsler Geometry available in PDF, EPUB and Kindle. In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P Finsler studied the variation problem in regular metric spaces. Around 1926, L Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world.Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory.
Riemann-finsler Geometry
Riemann-finsler Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemann-finsler Geometry write by Shiing-shen Chern. This book was released on 2005-05-10. Riemann-finsler Geometry available in PDF, EPUB and Kindle. Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natural sciences. Curvature is the central concept in Riemann-Finsler geometry. This invaluable textbook presents detailed discussions on important curvatures such as the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar flag curvature or isotropic S-curvature, etc. Instructive examples are given in abundance, for further description of some important geometric concepts. The text includes the most recent results, although many of the problems discussed are classical.
