Results 21 to 30 of about 1,076 (51)
On the Gauss map of embedded minimal tubes
, 1999 A surface is called a tube if its level-sets with respect to some coordinate function (the axis of the surface) are compact. Any tube of zero mean curvature has an invariant, the so-called flow vector. We study how the geometry of the Gaussian image of a
Reshetnikova, Irina M. +1 more
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Compact surfaces with no Bonnet mate
, 2017 This note gives sufficient conditions (isothermic or totally nonisothermic) for an immersion of a compact surface to have no Bonnet mate.Comment: 7 pages ...
Jensen, Gary R. +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we construct a helicoidal surface of type I+ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space ℝ13${\Bbb R}_1^3$with a positive density function. We get a result for minimal case.
Yıldız Önder Gökmen +2 more
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Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces [PDF]
, 2010 In this paper, we prove that minimal hypersurfaces when $n\geq 3$ and nonzero constant mean curvature hypersurfaces when $n\geq2$ foliated by spheres in parallel horizontal hyperplanes in ${\mathbb{H}}^n \times \mathbb{R}$ must be rotationally symmetric ...
Seo, Keomkyo
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On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$
Advanced Nonlinear StudiesWe classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also ...
Nelli Barbara +2 more
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Survey on real forms of the complex A2(2)-Toda equation and surface theory
Complex Manifolds, 2019 The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop ...
Dorfmeister Josef F. +3 more
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Disc stackings and their Morse index
Advanced Nonlinear StudiesWe construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the Morse index of all such surfaces. Among other things, our work implies for
Carlotto Alessandro +2 more
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Embedded minimal and constant mean curvature annulus touching spheres [PDF]
, 2010 We show that a compact embedded minimal or constant mean curvature annulus with non-vanishing Gaussian curvature which is tangent to two spheres of same radius or tangent to a sphere and meeting a plane in constant contact angle is rotational.Comment: 10
Park, Sung-Ho
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Rigidity properties of Colding–Minicozzi entropies
Advanced Nonlinear StudiesWe show certain rigidity for minimizers of generalized Colding–Minicozzi entropies. The proofs are elementary and work even in situations where the generalized entropies are not monotone along mean curvature flow.
Bernstein Jacob
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Lower bounds on density for topologically nontrivial minimal cones up to dimension six
Forum of Mathematics, SigmaWe prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.
Jacob Bernstein, Lu Wang
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