Homogeneous (α,β)-spaces with positive flag curvature and vanishing S-curvature

2015/03/13 by Ming Xu, Xu, Ming, Shaoqiang Deng +1 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders #math.DG #msc:22E46 #msc:53C30

paper · pdf · doi:10.48550/arxiv.1503.03962

13 pages

arxiv created 2015/03/13 · arxiv updated 2015/03/16

Abstract

We give a complete classification of homogeneous (α,β)-metrics with positive flag curvature and vanishing S-curvature.

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