Proper free-boundary minimal hypersurfaces with a rotational symmetry in the Schwarzschild space
Abstract
In this work we present a new family of properly embedded free boundary minimal hypersurfaces of revolution with circular boundaries in the horizon of the $n$-dimensional Schwarzschild space, $n\geq3$. In particular, we answer a question proposed by O. Chodosh and D. Ketover \cite{CK} on the existence of non-totally geodesic minimal surfaces in the 3-dimensional Schwarzschild space.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2021
- DOI:
- 10.48550/arXiv.2108.00693
- arXiv:
- arXiv:2108.00693
- Bibcode:
- 2021arXiv210800693B
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Analysis of PDEs
- E-Print:
- 9 pages, 1 figure