| Riemann-Finsler Geometry Contributor(s): Chern, Shiing-Shen (Author), Shen, Zhongmin (Author) |
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ISBN: 9812383581 ISBN-13: 9789812383587 Publisher: World Scientific Publishing Company OUR PRICE: $19.95 Product Type: Paperback - Other Formats Published: May 2005 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic - Mathematics | Topology - General - Science | Physics - Mathematical & Computational |
| Dewey: 516.375 |
| LCCN: 2005040818 |
| Series: Nankai Tracts in Mathematics (Paperback) |
| Physical Information: 0.45" H x 6.08" W x 8.94" (0.76 lbs) 204 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |