Young Wook Kim, Sung-Eun Koh, Hyung Yong Lee, Heayong Shin, Seong-Deog Yang
Published 2009-06-06Version 1
It is shown that parts of planes, helicoids and hyperbolic paraboloids are the only minimal surfaces ruled by geodesics in the three dimensional Riemannian Heisenberg group. It is also shown that they are the only surfaces in the three dimensional Heisenberg group whose mean curvature is zero with respect to both of the standard Riemannian metric and the standard Lorentzian metric.
Nearly Kaehler and nearly parallel G_2-structures on spheres
On the classification of ruled minimal surfaces in pseudo-Euclidean space
Existence of closed geodesics on Finsler $n$-spheres
![QR code for arXiv:0906.1246 [math.DG]](http://oss.arxitics.com/images/favicon.svg)