J Austral Math Soc Ser A 53 pp377--384, 1992.
Hypersurfaces of En+1 Satisfying Dx = Ax + B
Th. Hasanis and Th. Vlachos
(Received 18 June 1990; revised 20 April 1991)
Abstract
We consider hypersurfaces of En+1 whose position vector x satisfies Dx = Ax + B, where D is the induced Laplacian, and prove that these are open parts of minimal hypersurfaces, hyperspheres or generalized circular cylinders.
1991 AMS Subject Classification: 53C40, 53A05
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Authors
- Th. Hasanis
- Th. Vlachos
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University of Ioannina, 45110 Ioannina, Greece.
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