Associate and conjugate minimal immersions in MxR

Hauswirth, Laurent; Earp, Ricardo Sa; Toubiana, Eric

Associate and conjugate minimal immersions in MxR

Authors

Hauswirth, Laurent

Earp, Ricardo Sa

Toubiana, Eric

Description

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.
22 pages