Linear Weingarten surfaces foliated by circles in Minkowski space - Mathematics > Differential GeometryReportar como inadecuado




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Abstract: In this work, we study spacelike surfaces in Minkowski space $E 1^3$ foliatedby pieces of circles and that satisfy a linear Weingarten condition of type $aH+b K=c$, where $a,b$ and $c$ are constant and $H$ and $K$ denote the meancurvature and the Gauss curvature respectively. We show that such surfaces mustbe surfaces of revolution or surfaces with constant mean curvature H=0 orsurfaces with constant Gauss curvature K=0.



Autor: Ozgur Boyacioglu Kalkan, Rafael López, Derya Saglam

Fuente: https://arxiv.org/







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