On Cartan Spaces with m-th Root Metrics

2013/02/12 by Akbar Tayebi, Tayebi, A., Ali Nankali +3
Medicine · Physics and Astronomy · #53C25 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.1302.3272

openalex publication_date 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Some curvature properties of Cartan spaces with mth root metrics
• Projective relations for m-th root metric spaces
• The equivalent classical metrics on the Cartan-Hartogs Domains
• A Kähler Structure on Cartan Spaces
• A Class of Isotropic Mean Berwald Metrics