Results 31 to 40 of about 86 (86)

Annuloids and Δ-wings

Advanced Nonlinear Studies
We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings.
Hoffman David, Martín Francisco, White Brian   +2 more
doaj   +1 more source

Stability of isometric immersions of hypersurfaces

Forum of Mathematics, Sigma
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to $L^p$ -perturbations of their fundamental forms: For a manifold ${\mathcal M}^d$ endowed with a reference metric and a reference ...
Itai Alpern, Raz Kupferman, Cy Maor
doaj   +1 more source

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

Almost Extrinsically Homogeneous Submanifolds of Euclidean Space [PDF]

, 2018
Consider a closed manifold M immersed in Rm. Suppose that the trivial bundle M × Rm = T M ⊗ ν M is equipped with an almost metric connection ~ ∇ which almost preserves the decomposition of M × Rm into the tangent and the normal bundle.
Quast, Peter
core  

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

Complete maximal spacelike surfaces in an anti-de Sitter space {\bf H}^{4}_{2}(c)

, 2000
In this paper, we prove that if M^2 is a complete maximal spacelike surface of an anti-de Sitter space {\bf H}^{4}_{2}(c) with constant scalar curvature, then S=0, S={-10c\over 11}, S={-4c\over 3} or S=-2c, where S is the squared norm of the second ...
Qing-Ming Cheng
core   +1 more source

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

Contact CR-Submanifolds of Kenmotsu Manifolds [PDF]

, 2011
2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold.
Atçeken, Mehmet
core  

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Advanced Nonlinear Studies
We devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
doaj   +1 more source

Homogeneous two-manifolds with an invariant two-form

, 2007
: We study a 2-dimensional manifold that is homogeneous acted on by a 3-dimensional Lie group G, and that has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space and list such realizations ...
Masaaki Yoshida, Takeshi Sasaki
core