【摘 要】
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In this talk,I shall give some new results on the study of cmc hypersurfaces in Finsler manifolds,including the(α,β)-manifolds and the Randers space forms
【机 构】
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SouthwestJiaotongUniversity,P.R.China
论文部分内容阅读
In this talk,I shall give some new results on the study of cmc hypersurfaces in Finsler manifolds,including the(α,β)-manifolds and the Randers space forms(i.e.,simply-connected Randers manifolds of constant flag curvature).For example,we study the rotational minimal surfaces in a Randers sphere with the rotational Killing vector field(not of constant length).In such a sphere,one can not explicitly solve the minimal equation,but the global property of the minimal surfaces can be well studied by analyzing the solutions of the ODE system.Moreover,we shall study the minimal surfaces in the hyperbolic Randers space forms.Also,we shall talk about the cmc hypersurfaces in the Randers manifolds with the volume form induced by the unit normal vector field.
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