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Hypersurfaces with special quadric representations
Published online by Cambridge University Press: 17 April 2009
Abstract
Let x: Mn → Em be an isometric immersion of an n-dimensional Riemannian manifold into the m-dimensional Euclidean space. Then the map (where t denotes transpose) is called the quadric representation of Mn. In this paper, we study and classify hypersurfaces in the Euclidean space Em which satisfy , where B and C are two constant matrices, and Δ is the Laplacian operator of Mn. Some classification results are obtained.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 227 - 234
- Copyright
- Copyright © Australian Mathematical Society 1997
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