Minimal surfaces with polygonal boundary and Fuchsian equations

Finally, in Section 4, we show that once a solution to the reduced system has been obtained, our framework allows for the recovery of the Einstein vacuum equations, both for

We pro- pose a new framework to define curvature measures, based on the Corrected Normal Current, which generalizes the normal cycle: it uncouples the positional information of

Here we consider the particular case of affine surfaces V admitting smooth completions (S,B S ). Indeed, by the Danilov-Gizatullin Isomorphy Theorem [14], the isomorphy type as

- A characterization of a special type of Weingarten disk- type surfaces is provided when they have a round circle as boundary.. The results in this paper extend

We prove that the free boundary condition (1.2) 3 allows the surfaces u( · , t ) to adjust themselves conformally as t → ∞, so that global solutions to (1.2) sub-converge to

It is proved that for a simple, closed, extreme polygon Γ ⊂ R 3 every immersed, stable minimal surface spanning Γ is an isolated point of the set of all minimal surfaces spanning

FUCHS, A general existence theorem for integral currents with prescribed mean curvature form, in Boll. FEDERGER, The singular set of area minimizing rectifiable

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