Minimal hypersurfaces in a nearly Kaehler 6-sphere

作者：Deshmukh Sharief^*

来源：Journal of Geometry and Physics, 2010, 60(4): 623-625.

DOI：10.1016/j.geomphys.2009.12.018

• Eigenvalue of the Laplacian
• Minimal hypersurfaces
• Scalar curvature
• Shape operator

In this paper we show that for a compact minimal hypersurface M of constant scalar curvature in the unit sphere S(6) with the shape operator A satisfying parallel to A parallel to(2) > 5, there exists an eigenvalue lambda > 10 of the Laplace operator of the hypersurface M such that parallel to A parallel to(2) = lambda-5. This gives the next discrete value of parallel to A parallel to(2) greater than 0 and 5.

• 出版日期2010-4