On the asymptotic behavior of minimal surfaces in H²×R

In this section, Σ is a complete embedded minimal surface in R 4 of finite total curvature; its Gauss map maps a point p of Σ to the tangent plane T p Σ inside the Grassmannian

the most stable minimal surface is composed of an asymmetric catenoid built on the two rings and a planar soap film suspended on the smaller ring.. The res- olution of the

On the other hand, we obtain that as long as the metric component remains regular, the behaviour of solutions to (1.1a) is similar to the one of solutions of the harmonic map flow

3-dimensional manifold with boundary M which prevents interior contact between minimizing surfaces in M and the boundary of M unless the surface is totally contained

The IFT gives a rather clear picture of the local structure of the moduli space of minimal immersions. In this section we want to use some notions of the theory of

COURANT, The existence of a minimal surface of least area bounded by pre- scribed Jordan arcs and prescribed surfaces, Proc. HILDEBRANDT, Zum Randverhalten der

Using lacunary power series F.F. Brito [1] has constructed explicit examples of minimal surfaces with the same properties of [2]. An important feature of Brito's technique is that

— If A is a properly embedded minimal annulus, punctured in a single point, that lies between two parallel planes, and is bounded by two parallel lines in these planes, then A is