5 citations · 6 across the 8 of their papers we have counts for
8 papers
Remarks on the generalised Calabi-Yau problem in higher codimension
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
By introducing a more flexible notion of convexity, we obtain a new Omori-Yau maximum principle for harmonic maps. In the spirit of the Calabi-Yau conjectures, this principle is mo…
Perturbed cone theorems for proper harmonic maps
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
Inspired by the halfspace theorem for minimal surfaces in of Hoffman-Meeks, the halfspace theorem of Rodriguez-Rosenberg, and the cone theorem of Omori, we derive ne…
Lipschitz regularity of sub-elliptic harmonic maps into CAT(0) spaces
Renan Assimos, Yaoting Gui, Jürgen Jost
We prove the local Lipschitz continuity of sub-elliptic harmonic maps between certain singular spaces, more specifically from the -dimensional Heisenberg group into spa…
Graphical mean curvature flow with bounded bi-Ricci curvature
Renan Assimos, Andreas Savas-Halilaj, Knut Smoczyk
We consider the graphical mean curvature flow of strictly area decreasing maps , where is a compact Riemannian manifold of dimension and a complete Riemanni…
On the intersection of minimal hypersurfaces of
Renan Assimos
It is known since the work of Frankel that two compactly immersed minimal hypersurfaces in a manifold with positive Ricci curvature must have an intersection point. Several general…
Harmonic maps from surfaces of arbitrary genus into spheres
Renan Assimos, Jürgen Jost
We relate the existence problem of harmonic maps into to the convex geometry of . On one hand, this allows us to construct new examples of harmonic maps of degree 0 from…
Spherical Bernstein theorems for codimension 1 and 2
Renan Assimos, Jürgen Jost
A result of B.Solomon (On the Gauss map of an area-minimizing hypersurface. 1984. Journal of Differential Geometry, 19(1), 221-232.) says that a compact minimal hypersurface …
The Geometry of Maximum Principles and a Bernstein Theorem in Codimension 2
Renan Assimos, Jürgen Jost
Moser's Bernstein theorem \cite{moser61} says that an entire minimal graph of codimension 1 with bounded slope must be a hyperplane. An analogous result for arbitrary codimension i…