Complete spacelike hypersurfaces with CMC in Lorentz Einstein manifolds
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We investigate the spacelike hypersurface $M^n$ with constant mean curvature (CMC) in a Lorentz Einstein manifold $L^{n+1}_1$, which is supposed to obey some appropriate curvature constraints. Applying a suitable Simons type formula jointly with the well known generalized maximum principle of Omori-Yau, we obtain some rigidity classification theorems and pinching theorems of hypersurfaces.
Abstract
We investigate the spacelike hypersurface $M^n$ with constant mean curvature (CMC) in a Lorentz Einstein manifold $L^{n+1}_1$, which is supposed to obey some appropriate curvature constraints. Applying a suitable Simons type formula jointly with the well known generalized maximum principle of Omori-Yau, we obtain some rigidity classification theorems and pinching theorems of hypersurfaces.
참고문헌 (26)
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