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On Cartan Spaces with m-th Root Metrics
- Publication Year :
- 2013
-
Abstract
- In this paper, we define some non-Riemannian curvature properties for Cartan spaces. We consider Cartan space with the m-th root metric. We prove that every m-th root Cartan space of isotropic Landsberg curvature, or isotropic mean Landsberg curvature, or isotropic mean Berwald curvature reduces to a Landsberg, weakly Landsberg and weakly Berwald space, respectively. Then we show that m-th root Cartan space of almost vanishing H-curvature satisfies H = 0.<br />Comment: arXiv admin note: text overlap with arXiv:0802.2887 by other authors
- Subjects :
- Mathematics - Differential Geometry
53C60, 53C25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1302.3272
- Document Type :
- Working Paper