Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature [PDF]
, 2015 Stéphane Sabourau
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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Potential Theory on Minimal Hypersurfaces I: Singularities as Martin\n Boundaries [PDF]
, 2018 Joachim Lohkamp
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Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index [PDF]
, 2022 Nicolau S. Aiex +2 more
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Complete minimal hypersurfaces in hyperbolicn-manifolds
Commentarii Mathematici Helvetici, 1983 An n-dimensional hyperbolic space \(H^ n\) with sectional curvature \(K\equiv -1\) may be regarded as the interior of the unit n-ball or equivalently as the upper half space \(x_ n>0\) in \({\mathbb{R}}^ n\), in each case with a metric obtained by a conformal change of the Euclidean metric.
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Minimal hypersurfaces of unit sphere
Tohoku Mathematical Journal, 1997 If \(S\) denotes the square of the length of the second fundamental form of a closed minimal hypersurface \(M^n\) in the unit sphere \(S^{n+1},\) the celebrated Chern's conjecture states that the set of possible values of \(S\) (or, equivalently, set of values of the scalar curvature) for minimal hypersurfaces with constant scalar curvature is discrete.
Sun, Huafei, Ogiue, Koichi
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Multiplicity one and strictly stable Allen-Cahn minimal hypersurfaces [PDF]
, 2019 Marco A. M. Guaraco +2 more
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Simons' type equation for $f$-minimal hypersurfaces and applications [PDF]
, 2013 Xu Cheng, Tito Mejia, Detang Zhou
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Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area [PDF]
, 2017 Reto Buzano, Ben Sharp
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Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature [PDF]
, 2017 Siyuan Lu, Pengzi Miao
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