Linear Weingarten surfaces foliated by circles in Minkowski space

Autor: Kalkan, Ozgur Boyacioglu, López, Rafael, Saglam, Derya
Rok vydání: 2009
Předmět:
Druh dokumentu: Working Paper
Popis: In this work, we study spacelike surfaces in Minkowski space $E_1^3$ foliated by pieces of circles and that satisfy a linear Weingarten condition of type $a H+b K=c$, where $a,b$ and $c$ are constant and $H$ and $K$ denote the mean curvature and the Gauss curvature respectively. We show that such surfaces must be surfaces of revolution or surfaces with constant mean curvature H=0 or surfaces with constant Gauss curvature K=0.
Comment: 22 pages
Databáze: arXiv