Algebraic cmc hypersurface of order 3 in Euclidean spaces

Abstract

We prove that there are not algebraic hypersurfaces of degree 3 in ${\mathbb{R}}^n$ with non zero constant mean curvature.

5 pages, submitted

References in corpus (3)

• Minimal cubic cones via Clifford algebras
• On the non-vanishing property for real analytic solutions of the $p$-Laplace equation
• New Minimal Hypersurfaces in R(k+1)(2k+1) and S(2k+3)k

Cited by in corpus (1)

• On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces