Finsler Geometry An Approach via Randers Spaces /

• Main Authors: Cheng, Xinyue (Author), Shen, Zhongmin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Subjects: Mathematics.; Geometry.; Differential geometry.; Physics.; Differential Geometry.; Mathematical Methods in Physics.

"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...

Table of Contents:

• 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.