Results 31 to 40 of about 82 (81)

Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space

, 2023
In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjointcurve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-vature of the translation surface.
Saltık, Burçin, Yüksel, Nural
core  

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, Laurent Hauswirth, Joaquín Pérez, Pascal Romon, Pérez, Joaquín, Hauswirth, Laurent   +5 more
core   +1 more source

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, A Garcia, César Rodrigo   +2 more
core  

Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density

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, Hızal Selman, Akyiğit Mahmut   +2 more
doaj   +1 more source

On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$

Advanced Nonlinear Studies
We 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, Pipoli Giuseppe, Russo Giovanni   +2 more
doaj   +1 more source

Disc stackings and their Morse index

Advanced Nonlinear Studies
We 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, Schulz Mario B., Wiygul David   +2 more
doaj   +1 more source

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., Freyn Walter, Kobayashi Shimpei, Wang Erxiao   +3 more
doaj   +1 more source

An eigenvalue estimate for self-shrinkers in a Ricci shrinker

Advanced Nonlinear Studies
In 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
doaj   +1 more source

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