Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space
نویسندگان
چکیده
In this paper, we study a stability problem of free boundary hypersurfaces, and also capillary ones whose supported on horosphere in hyperbolic space. We prove that umbilical hypersurfaces are only stable immersed horosphere. Using the same method, show totally geodesic hyperplane is type-II hypersurface
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108641