Associate and conjugate minimal immersions in MxR

Details Associate and conjugate minimal immersions in MxR Associate and conjugate minimal immersions in MxR

2005-12-06

arxiv.org/abs/math/0512112v1

Mathematics

Differential Geometry

22 pages

Scientific paper

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.

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