Results 31 to 40 of about 88 (85)

Rigidity properties of Colding–Minicozzi entropies

Advanced Nonlinear Studies
We 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
doaj   +1 more source

Lower bounds on density for topologically nontrivial minimal cones up to dimension six

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

Minimal surfaces in H3(−1) via Willmore geometry, Gauss maps, meromorphic potentials, and algorithmic constructions

Open Mathematics
This article develops a self-contained account of minimal surfaces in hyperbolic three-space H3(−1) ${\mathbb{H}}^{3}\left(-1\right)$ from the vantage point of Willmore geometry and the DPW (loop-group) method.
Toda Magdalena, Atampalage Madusha Dilhani, Güler Erhan   +2 more
doaj   +1 more source

An Invariant Theory of Surfaces in the Four-Dimensional Euclidean or Minkowski Space [PDF]

, 2012
2010 Mathematics Subject Classification: 53A07, 53A35, 53A10.The present article is a survey of some of our recent results on the theory of two-dimensional surfaces in the four-dimensional Euclidean or Minkowski space.
Ganchev, Georgi, Milousheva, Velichka
core  

Saddle towers in Heisenberg space

, 2014
We construct most symmetric Saddle towers in Heisenberg space i.e. periodic minimal surfaces that can be seen as the desingularization of vertical planes intersecting equiangularly.
Cartier, Sébastien, Sébastien Cartier
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Пълна интегруемост на една нелинейна елиптична система, пораждаща би-омбилични фолирани полусиметрични хиперповърхнини в R^4

, 2010
Николай Кутев, Величка Милушева - Намираме експлицитно всичките би-омбилични фолирани полусиметрични повърхнини в четиримерното евклидово пространство R^4We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four- dimensional ...
Kutev, Nikolai, Milousheva, Velichka
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© Hindawi Publishing Corp. ON THE MODULI SPACE OF SUPERMINIMAL SURFACES IN SPHERES

, 2001
Using a birational correspondence between the twistor space of S2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S2n of degree d as curves of degree d in projective space satisfying a ...
Luis Fernández
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Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting, Li Yanlin, Eren Kemal, Ersoy Soley   +3 more
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The Construction of Doubly Periodic Minimal Surfaces via Balance Equations

, 2009
. Using Traizet’s regeneration method, we prove the existence of many new 3-dimensional families of embedded, doubly periodic minimal surfaces. All these families have a foliation of R3 by vertical planes as a limit.
Peter Connor, Matthias Weber
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Geometry of branched minimal surfaces of finite index

Advanced Nonlinear Studies
Given I,B∈N∪{0} $I,B\in \mathbb{N}\cup \left\{0\right\}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces M in R3 ${\mathbb{R}}^{3}$ with Morse index at most I and total branching order at most B. Previous works
Meeks William H., Pérez Joaquín
doaj   +1 more source