Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation $aH+bK=c$

Details Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation $aH+bK=c$ Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation $aH+bK=c$

2010-03-23

arxiv.org/abs/1003.4554v1

Mathematics

Differential Geometry

12 pages, 3 figures

Scientific paper

In this work, we study spacelike and timelike surfaces of revolution in Minkowski space $\e_{1}^{3}$ that satisfy $aH+bK=c$, where $H$ and $K$ denote the mean curvature and the Gauss curvature of the surface and $a$, $b$ and $c$ are constants. The classification depends on the causal character of the axis of revolution and in all the cases, we obtain a first integral of the equation of the generating curve of the surface.

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