Abstract
We investigate the mean curvature of semi-Riemannian graphs in the semi-Riemannian warped product M×fℝe , where M is a semi-Riemannian manifold, ℝe is the real line ℝ with metric edt2 (e = ±1), and f: M→ℝ + is the warping function. We obtain an integral formula for mean curvature and some results dealing with estimates of mean curvature, among these results is a Heinz–Chern type inequality.
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