Results 21 to 30 of about 88 (85)
, 2020 We construct Colding-Minicozzi limit minimal laminations in open domains in R 3 with the singular set of C 1 -convergence being any properly embedded C 1,1 -curve.
William H Meeks Iii, Matthias Weber
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Higher Genus Doubly Periodic Minimal Surfaces [PDF]
, 2018 We construct Weierstrass data for higher genus embedded doubly periodic minimal surfaces and present numerical evidence that the associated period problem can be solved.
Connor, Peter
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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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Compact hypersurfaces in a locally symmetric manifold [PDF]
, 2016 Let M be an n-dimensional compact hypersurface in a locally symmetric manifold Nn+1. Denote by S and H the squared norm of the second fundamental form and the mean curvature of M.
CHEN, Junfeng, SHU, Shichang
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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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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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Embedded Minimal Ends of Finite Type
, 1999 .-We prove that the end of a complete embedded minimal surface in R 3 with infinite total curvature and finite type has an explicit Weierstrass representation that only depends on a holomorphic function that vanishes at the puncture.
Romon, Pascal +5 more
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Cartan Forms for First Order Constrained Variational Problems [PDF]
, 2020 Given a constrained variational problem on the 1-jet extension J 1 Y of a fibre bundle p : Y → X, under certain conditions on the constraint submanifold S ⊂ J 1 Y , we characterize the space of admissible infinitesimal variations of an admissible section
Pedro L García +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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An eigenvalue estimate for self-shrinkers in a Ricci shrinker
Advanced Nonlinear StudiesIn this paper, we study the drifted Laplacian Δf on a hypersurface M in a Ricci shrinker (M̄,g,f) $\left(\bar{M},g,f\right)$ . We prove that the spectrum of Δf is discrete for immersed hypersurfaces with bounded weighted mean curvature in a Ricci ...
Conrado Franciele, Zhou Detang
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