https://neckpinch.com/authors/jose-a-galvez/New arXiv papers by Jose A. Galvez, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1802.08146/arxiv:1802.08146Thu, 22 Feb 2018 00:00:00 GMTAntonio Bueno, Jose A. Galvez, Pablo Mira — We develop a global theory for complete hypersurfaces in ℝⁿ⁺¹ whose mean curvature is given as a prescribed function of its Gauss map. This theory extends the usual one of constant mean curvature hypersurfaces in ℝⁿ⁺¹, and also that of self-translating solitons of the mean curvature flow. For the particular case n=2, we will obtain results regarding a priori height and curvature estimates, non-existence of complete stable surfaces, and classification of properly embedded surfaces with at most one end.Mean curvature flowSelf-shrinkers & translatorsMinimal & CMC surfaces