Associate and conjugate minimal immersions in MxR
Differential Geometry
2007-05-23 v1
Abstract
We consider minimal immersions in MxR. We study existence and uniqueness of associate and conjugate isometric immersions to a given minimal surface. We use the theory of univalent harmonic map between surfaces. Then we study the geometry of associate minimal vertical graphs. We prove that an associate surface of a vertical graph on a convex domain is a graph. In the classical theory it is a theorem of R. Krust.
Cite
@article{arxiv.math/0512112,
title = {Associate and conjugate minimal immersions in MxR},
author = {Laurent Hauswirth and Ricardo Sa Earp and Eric Toubiana},
journal= {arXiv preprint arXiv:math/0512112},
year = {2007}
}
Comments
22 pages