SUBMANIFOLDS OF EUCLIDEAN SPACES SATISFYING $\Delta H =AH$

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BANG-YEN CHEN

Abstract




In [5] the author initiated the study of submanifolds whose mean curvature vector $H$ satisfying the condition $\Delta H =\lambda H$ for some constant $\lambda$ and proved that such submanifolds are either biharmonic or of 1-type or of null 2-type. Submanifolds of hyperbolic spaces and of de Sitter space-times satisfy this condition have been investigated and classified in [6,7]. In this article, we study submanifolds of $E^m$ whose mean curvature vector $H$ satisfies a more general condition; namely, $\Delta H =AH$ for some $m \times m$ matrix $A$.




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How to Cite
CHEN, B.-Y. (1995). SUBMANIFOLDS OF EUCLIDEAN SPACES SATISFYING $\Delta H =AH$. Tamkang Journal of Mathematics, 25(1), 71–81. https://doi.org/10.5556/j.tkjm.25.1994.4427
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Papers

References

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