• On the Mean Curvature of Semi-Riemannian Graphs in Semi-Riemannian Warped Products

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    • Keywords


      Mean curvature; semi-Riemannian graphs; semi-Riemannian warped product; Heinz–Chern type inequality.

    • Abstract


      We investigate the mean curvature of semi-Riemannian graphs in the semi-Riemannian warped product $M\times f\mathbb{R}_\varepsilon$, where 𝑀 is a semi-Riemannian manifold, $\mathbb{R}_\varepsilon$ is the real line $\mathbb{R}$ with metric $\varepsilon dt^2(\varepsilon =\pm 1)$, and $f:M\to \mathbb{R}^+$ 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.

    • Author Affiliations


      Zonglao Zhang1

      1. College of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, People’s Republic of China
    • Dates

  • Proceedings – Mathematical Sciences | News

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