Minimal hypersurfaces in a nearly Kaehler 6-sphere |
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Authors: | Sharief Deshmukh |
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Institution: | Department of Mathematics, College of Science, King Saud University, P.O. Box#2455, Riyadh-11451, Saudi Arabia |
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Abstract: | In this paper we show that for a compact minimal hypersurface M of constant scalar curvature in the unit sphere S6 with the shape operator A satisfying ‖A‖2>5, there exists an eigenvalue λ>10 of the Laplace operator of the hypersurface M such that ‖A‖2=λ−5. This gives the next discrete value of ‖A‖2 greater than 0 and 5. |
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Keywords: | 53C20 53C42 |
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