Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895962 | Journal of Geometry and Physics | 2013 | 8 Pages |
Abstract
We show that if the mean curvature vector field of a hypersurface M23 in E24 satisfies the equation ΔH→=αH→ (αα a constant) then M23 has constant mean curvature. This equation is a natural generalization of the biharmonic submanifold equation ΔH→=0→.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andreas Arvanitoyeorgos, George Kaimakamis,