Linear Weingarten surfaces foliated by circles in Minkowski space - Mathematics > Differential GeometryReport as inadecuate




Linear Weingarten surfaces foliated by circles in Minkowski space - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

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.



Author: Ozgur Boyacioglu Kalkan, Rafael López, Derya Saglam

Source: https://arxiv.org/







Related documents