2015/04/13 by Esra Şengelen Sevim, Esra Sengelen Sevim, Sevim, Esra Sengelen +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Digital Image Processing Techniques #Geometric Analysis and Curvature Flows #math.DG
paper · pdf · doi:10.48550/arxiv.1505.04181
arxiv created 2015/04/13 · arxiv updated 2015/05/18
In this paper, we study a special class of Finsler metrics, (α,β)-metrics, defined by F = αϕ(\fracβα), where α is a Riemannian metric and β is a 1-form. We find an equation that characterizes Ricci-flat (α,β)-metrics under the condition that the length of β with respect to α is constant.