On globally Symmetric Finsler spaces

2011/01/22 by R. Chavosh Khatamy, Khatamy, R. Chavosh, R . Esmaili +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C60 #Secondary 53C35 #math.DG #msc:53C35 #msc:53C60

paper · pdf · doi:10.48550/arxiv.1101.4288

5 pages

arxiv created 2011/01/22 · arxiv updated 2011/01/25

Abstract

The paper consider the symmetric of Finsler spaces. We give some conditions about globally symmetric Finsler spaces. Then we prove that these spaces can be written as a coset space of Lie group with an invariant Finsler metric. Finally, we prove that such a space must be Berwaldian

Related

• Finsler manifolds with general symmetries
• Homogeneous Finsler spaces and the flag-wise positively curved condition
• Even dimensional homogeneous Finsler spaces with positive flag curvature
• A symmetric Finsler space with Chern connection
• Normal homogeneous Finsler spaces