Results 31 to 40 of about 1,512 (69)

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

Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces [PDF]

, 2010
In this paper, we prove that minimal hypersurfaces when $n\geq 3$ and nonzero constant mean curvature hypersurfaces when $n\geq2$ foliated by spheres in parallel horizontal hyperplanes in ${\mathbb{H}}^n \times \mathbb{R}$ must be rotationally symmetric ...
Seo, Keomkyo
core   +1 more source

Foliations and Chern-Heinz inequalities

, 2006
We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of $C^{2}$-functions to leaves of transversally oriented codimension one $C^{2}$-foliations of Riemannian manifolds.
Cheeger, Elbert, G. P. BESSA, Gårding, Isabel, J. F. MONTENEGRO, J. L. M. BARBOSA, Schoen   +7 more
core   +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

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

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

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

A vase of catenoids

, 2016
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ...
Connor, Peter
core  

Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed, Uddin Siraj, Bossly Rawan   +2 more
doaj   +1 more source