Curvature, Distance and Volume in Finsler Geometry

摘要

;Contents: Introduction; Finsler metrics; Duality; Geodesics and connections;Berwald spaces; Flag curvature; Tangent curvature; The gradient; The Hessian; Normal curvature; Estimates on D(squared)p; The Laplace operator; The curvature H; Mean curvature; Geodesic spheres; Estimates on delta(p)=II; The co-area formula; Volume comparison.