Eigenvalue Rigidity in Nonnegative Ricci Curvature

Keywords:

First Eigenvalue Lorentz manifold, Nondegenerate timelike boundary,

[1] Abraham, R., Marsden, J.E. and Ratiu, T., Manifolds, Tensor Analysis and Applications, Second Press, Springer Verlag, New York, 1988.
[2] Barros, A. and Bessa, G.P., Estimates of the first eigenvalue of minimal hypersurfaces of Sn+1, arXiv:math.DG/0410493v1, (2007).
[3] Bektas¸, M., The Reilly’s integral formula on Lorentz manifolds with nondegenerate timelike boundary. Science and Engineering Journal of Firat University 10(2) (1998), 89-97.
[4] Choi, H.I. and Wang, A.N., A first eigenvalue estimate for minimal hypersurfaces. J. Differential Geom. 18(1983), 559-562.
[5] Ho, P.T., A first eigenvalue estimate for embedded hypersurfaces. Differential Geometry and its Applications (2007), doi:10.1016/j.difgeo.2007.11.019.
[6] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.