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- Perdomo, Oscar, et al.
(författare)
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Algebraic CMC hypersurfaces of order 3 in Euclidean spaces
- 2019
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Ingår i: Journal of Geometry. - Basel, Switzerland : Birkhaeuser Science. - 0047-2468 .- 1420-8997. ; 110:1
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Tidskriftsartikel (refereegranskat)abstract
- Understanding and finding of general algebraic constant mean curvature surfaces in the Euclidean spaces is a hard open problem. The basic examples are the standard spheres and the round cylinders, all defined by a polynomial of degree 2. In this paper, we prove that thereare no algebraic hypersurfaces of degree 3 in higherdimensional (n>2) Euclidean spaces, with nonzero constant mean curvature.
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