Results 31 to 40 of about 93 (91)

A note on the l^2-norm of the second fundamental form of algebraic manifolds [PDF]

, 2010
2000 Mathematics Subject Classification: 53C42, 53C55.Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by
LOI, ANDREA, Zedda M., Zedda, Michela
core  

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

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

Forum of Mathematics, Sigma
We study the sublevel sets of the Willmore energy on the space of smoothly immersed 2 $ 2 $ 2 -spheres in Euclidean 3 $ 3 $ 3 -space. We show that the subset of immersions with energy at most 12π $ 12\pi $ 12 pi consists of four regular ...
Elena Mäder-Baumdicker, Jona Seidel
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

A Variational Approach for the Neumann Problem in Some FLRW Spacetimes

Advanced Nonlinear Studies, 2019
In this paper, we study, using critical point theory for strongly indefinite functionals, the Neumann problem associated to some prescribed mean curvature problems in a FLRW spacetime with one spatial dimension.
Bereanu Cristian, Torres Pedro J.
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

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

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
core   +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

Reilly type inequalities for eigenvalues of the buckling problem on compact Riemannian manifolds

Demonstratio Mathematica
In this paper, we firstly study the two types of buckling problem of the biharmonic operator and get some Reilly type lower bound estimates for the first nonzero eigenvalue of these eigenvalue problems on compact Riemannian manifolds with boundary ...
Li Yanli, Du Feng, Xia Changyu
doaj   +1 more source