On the inverse mean curvature flow in warped product manifolds
| Autor: | Mullins, Thomas |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider the warped product manifold, $\mathbb{R}_+ \times_{\bf{Id}} M^n$, with Riemannian metric $\gamma\equiv \mathrm{d} r^2 \oplus r^2 \sigma$, where $(M^n, \sigma)$ is a smooth closed Riemannian $n$-manifold. We investigate what sufficient curvature condition is required of $\sigma$ to ensure that a solution to the inverse mean curvature flow - commencing with a star-shaped surface - exists for all times $t>0$. Comment: This result was obtained in the author's Master's thesis, submitted in December 2014 to the FU Berlin |
| Databáze: | arXiv |
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