Lorentz Hypersurfaces satisfying $\triangle \vec {H}= \alpha \vec {H}$ with non diagonal shape operator
| Autor: | Deepika, Arvanitoyeorgos, Andreas, Gupta, Ram Shankar |
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| Rok vydání: | 2016 |
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| Zdroj: | S\~ao Paulo J. Math. Sci. 11 (1) (2017) 200-214 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s40863-016-0056-2 |
| Popis: | We study Lorentz hypersurfaces $M_{1}^{n}$ in $E_{1}^{n+1}$ satisfying $\triangle \vec {H}= \alpha \vec {H}$ with non diagonal shape operator, having complex eigenvalues. We prove that every such Lorentz hypersurface in $E_{1}^{n+1}$ having at most five distinct principal curvatures has constant mean curvature. Comment: 13 pages. arXiv admin note: text overlap with arXiv:1610.03005 |
| Databáze: | arXiv |
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