Results 21 to 30 of about 3,233,557 (302)

Curvatures of hypersurfaces

Lietuvos Matematikos Rinkinys, 2010
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
doaj   +1 more source

The spinor representation of constant mean curvature one surfaces in the Hyperbolic space [PDF]

, 1970
We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko-Pavlyukevich-Springborn in [1].
Nicolodi, Lorenzo, Musso, Emilio, Nicolodi, L., MUSSO E, NICOLODI L.   +4 more
core   +1 more source

On Total Shear Curvature of Surfaces in E^{n+2}

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
doaj   +1 more source

Existence of mean curvature flow singularities with bounded mean curvature

Duke Mathematical Journal, 2023
44 pages, comments ...
openaire   +2 more sources

A model for the behavior of fluid droplets based on mean curvature flow [PDF]

, 2012
The authors of [W. D. Ristenpart et al., Nature, 461 (2009), pp. 377–380] have observed the following remarkable phenomenon during their experiments.
Helmensdorfer, Sebastian
core   +1 more source

Hyperbolic inverse mean curvature flow [PDF]

, 2020
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
core   +1 more source

Examples of surfaces of constant mean curvature

Дифференциальная геометрия многообразий фигур, 2019
A surface in E3 is called parallel to the surface M if it consists of the ends of constant length segments, laid on the normals to the surfaces at points of this surface. The tangent planes at the corresponding points will be parallel.
M. A. Cheshkova
doaj   +1 more source

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

Lagrangian mean curvature flow [PDF]

, 2021
Lagrangian mean curvature flow is a powerful tool in modern mathematics with connections to topics in analysis, geometry, topology and mathematical physics.
Lotay, Jason D.
core   +2 more sources