Results 1 to 8 of about 8 (8)
Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, 2023 Given r0>0{r}_{0}\gt 0, I∈N∪{0}I\in {\mathbb{N}}\cup \left\{0\right\}, and K0,H0≥0{K}_{0},{H}_{0}\ge 0, let XX be a complete Riemannian 3-manifold with injectivity radius Inj(X)≥r0\hspace{0.1em}\text{Inj}\hspace{0.1em}\left(X)\ge {r}_{0} and with the ...
Meeks William H., Pérez Joaquín
doaj +1 more source
Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
Complex Manifolds, 2022 We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F. +2 more
doaj +1 more source
Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear
Šipuš Željka Milin +2 more
doaj +1 more source
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
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. +3 more
doaj +1 more source
Sweeping Surfaces of Polynomial Curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn 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 +3 more
doaj +1 more source
Geometry of branched minimal surfaces of finite index
Advanced Nonlinear StudiesGiven 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