Title of article
Extrinsic sphere and totally umbilical submanifolds in Finsler spaces
Author/Authors
Bidabad B نويسنده Faculty of Mathematics and Computer Science - Amirkabir University of Technology, Tehran , Sedaghat M نويسنده Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran
Pages
11
From page
337
To page
347
Abstract
Based on a definition for circle in Finsler space, recently proposed by one of the present authors and Z. Shen, a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient manifold. Finally, some examples of extrinsic sphere in Finsler geometry, particularly in Randers spaces are given.
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2412939
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