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6 papers · 2 filters
Constant mean curvature surfaces with boundary on a sphere
Rafael López, Juncheol Pyo
In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the b…
Capillary surfaces of constant mean curvature in a right solid cylinder
Rafael López, Juncheol Pyo
In this paper we investigate constant mean curvature surfaces with nonempty boundary in Euclidean space that meet a right cylinder at a constant angle along the boundary. If the su…
Capillary surfaces in a cone
Rafael López, Juncheol Pyo
We show that a capillary surface in a solid cone, that is, a surface that has constant mean curvature and the boundary of surface meets the boundary of the cone with a constant ang…
Geometric barriers for the existence of hypersurfaces with prescribed curvatures in
José A. Gálvez, Victorino Lozano
We show the existence of a deformation process of hypersurfaces from a product space into another product space such that the relation of the principal…
On the topology of translating solitons of the mean curvature flow
Francisco Martin, Andreas Savas-Halilaj, Knut Smoczyk
In the present article we obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow.
CMC foliations of closed manifolds
William H. Meeks, Joaquin Perez
We prove that every closed, smooth -manifold admits a Riemannian metric together with a smooth, transversely oriented CMC foliation if and only if its Euler characteristic i…