Title of article
Hypersurfaces in satisfying with at most three distinct principal curvatures
Author/Authors
Liu، نويسنده , , Jiancheng and Yang، نويسنده , , Chao، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
12
From page
562
To page
573
Abstract
In this paper, we investigate hypersurface M r n of pseudo-Euclidean space E s n + 1 satisfying Δ H → = λ H → (λ a constant), and show that if M r n has diagonalizable shape operator with at most three distinct principal curvatures, then it has constant mean curvature.
Keywords
Hypersurface , Proper mean curvature vector field , Shape operator , Diagonalizable , Pseudo-Euclidean space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564719
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