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Free boundary minimal hypersurfaces with least area

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arxiv 1801.07036 v1 pith:SDXTIVHC submitted 2018-01-22 math.DG math.GT

Qiang Guang , Zhichao Wang , Xin Zhou This is my paper · ORCID
classification math.DGmath.GT
keywords boundaryareafreehypersurfaceleastminimalcharacterizecompact
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In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such hypersurface can be viewed as the ground state of the volume spectrum introduced by Gromov. Moreover, we characterize the orientation and Morse index of them.

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