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arXiv · 1003.4554

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

Özgür Boyacıoğlu Kalkan·Rafael López·Derya Saglam
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Abstract

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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Özgür Boyacıoğlu Kalkan, Rafael López, Derya Saglam. 2010-03-23. Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation $aH+bK=c$. https://arxiv.org/abs/1003.4554

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