Results 21 to 30 of about 4,058,790 (257)

Circulant preconditioners for mean curvature-based image deblurring problem

Journal of Algorithms & Computational Technology, 2021
The mean curvature-based image deblurring model is widely used to enhance the quality of the deblurred images. However, the discretization of the associated Euler–Lagrange equations produces a nonlinear ill-conditioned system which affects the ...
Shahbaz Ahmad, Faisal Fairag
doaj   +1 more source

Factorable Surfaces in Pseudo-Galilean Space with Prescribed Mean and Gaussian Curvatures

Journal of New Theory, 2022
We study the so-called factorable surfaces in the pseudo-Galilean space, the graphs of the product of two functions of one variable. We then classify these surfaces when the mean and Gaussian curvatures are functions of one variable.
Muhittin Evren Aydın, Sezin Aykurt Sepet, Hülya Gün Bozok   +2 more
doaj   +1 more source

Hyperbolic inverse mean curvature flow [PDF]

, 2001
summary:We prove the short-time existence of the hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial compact smooth hypersurface of $\mathbb {R}^{n+1}$ ($n\ge 2$) is mean convex and ...
Zhou, Zhe, Mao, Jing, Wu, Chuan-Xi, Hubert L. Bray   +3 more
core   +1 more source

Geometric Inequalities for a Submanifold Equipped with Distributions

Mathematics, 2022
The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
doaj   +1 more source

Bernstein-type theorems in hypersurfaces with constant mean curvature

Anais da Academia Brasileira de Ciências, 2000
By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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Curvature estimates for constant mean curvature surfaces [PDF]

, 2019
We derive extrinsic curvature estimates for compact disks embedded in R 3 with nonzero constant mean curvature.
Tinaglia, Giuseppe; id_orcid, H. Meeks III, William   +1 more
core   +1 more source

Offset Ruled Surface in Euclidean Space with Density

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj   +1 more source

A remark on soliton equation of mean curvature flow

Anais da Academia Brasileira de Ciências, 2004
In this note, we consider self-similar immersions of the mean curvature flow and show that a graph solution of the soliton equation, provided it has bounded derivative, converges smoothly to a function which has some special properties (see Theorem 1.1 ...
Li Ma, Yang Yang
doaj   +1 more source

Submanifolds with curvature normals of constant length and the Gauss map [PDF]

, 2004
We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala, C. Olmos, Di Scala, Antonio Jose', Carlos Olmos   +3 more
core   +1 more source

On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector

Mathematics
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
doaj   +1 more source