New minimal hypersurfaces in RAPTARABOLDITALIC(k+1)(2k+1) and SAPTARABOLDITALIC2k2+3k
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DOI: 10.1002/mana.201600401
Abstract: We find a class of minimal hypersurfaces Hk as the zero level set of Pfaffians, resp. determinants of real 2k+2 dimensional antisymmetric matrices. While H1 and H2 are congruent to the quadratic cone x12+x22+x32−x42−x52−x62=0 resp.… read more here.
Keywords: new minimal; minimal hypersurfaces; hypersurfaces raptarabolditalic; raptarabolditalic saptarabolditalic2k2 ... See more keywords
Equidistribution of minimal hypersurfaces for generic metrics
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DOI: 10.1007/s00222-018-00850-5
Abstract: AbstractFor almost all Riemannian metrics (in the $$C^\infty $$C∞ Baire sense) on a closed manifold $$M^{n+1}$$Mn+1, $$3\le (n+1)\le 7$$3≤(n+1)≤7, we prove that there is a sequence of closed, smooth, embedded, connected minimal hypersurfaces that is… read more here.
Keywords: minimal hypersurfaces; hypersurfaces generic; equidistribution minimal; generic metrics ... See more keywords
Closed Willmore minimal hypersurfaces with constant scalar curvature in S5(1) are isoparametric
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DOI: 10.1016/j.aim.2017.05.002
Abstract: Abstract In this paper, we will prove that any closed minimal Willmore hypersurface M 4 of S 5 with constant scalar curvature must be isoparametric. To be precise, M 4 is either an equatorial 4… read more here.
Keywords: minimal hypersurfaces; constant scalar; willmore minimal; scalar curvature ... See more keywords
Lf-index bounds for closed f-minimal hypersurfaces
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DOI: 10.1016/j.jmaa.2017.05.011
Abstract: Abstract We discuss a two-side closed embedded f-minimal hypersurface Σ in a smooth metric measure space ( M n + 1 , g ¯ , e − f d μ ) and obtain that L… read more here.
Keywords: minimal hypersurfaces; index; index bounds; bounds closed ... See more keywords