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Curvature estimates for constant mean curvature surfaces [PDF]

open access: yesDuke Mathematical Journal, 2019
We have separated the original paper into two parts. This new posting is the first part which is self-contained and deals with extrinsic curvature estimates for embedded nonzero constant mean curvature disks.
H. Meeks III, William   +1 more
openaire   +9 more sources

A characterization of compact surfaces with constant mean curvature [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
Surfaces in a 3 3 -space of constant curvature, whose arbitrary sufficiently small open subsets admit a non-trivial ...
Masaaki Umehara
openaire   +4 more sources

Defect Motifs for Constant Mean Curvature Surfaces [PDF]

open access: yesPhysical Review Letters, 2013
The energy landscapes of electrostatically charged particles embedded on constant mean curvature surfaces are analysed for a wide range of system size, curvature, and interaction potentials. The surfaces are taken to be rigid, and the basin-hopping method is used to locate the putative global minimum structures.
Kusumaatmaja, H., Wales, D.J.
openaire   +7 more sources

Timelike Bonnet surfaces with non-constant curvature [PDF]

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2013
In this study, the criterion of a timelike surface being Bonnet surface in 3-dimensional Minkowski space given by [11] is taken into consideration and by a similar manner of the classification of surfaces in Euclidean space done by I. M.
Soley Ersoy, Kemal Eren
doaj   +2 more sources

Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature [PDF]

open access: yesOpen Mathematics, 2014
We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature and constant Gauss curvature whose generating curve is a graph of a polynomial or a Lorentzian circle.
López Rafael, Demir Esma
doaj   +2 more sources

Surfaces with Constant Negative Curvature [PDF]

open access: yes, 2023
In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr.
İbrahim Gürgil, Semra Kaya Nurkan
core   +1 more source

A New Approach to Rotational Weingarten Surfaces

open access: yesMathematics, 2022
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface.
Paula Carretero, Ildefonso Castro
doaj   +1 more source

Canonical Coordinates and Natural Equation for Lorentz Surfaces in R13

open access: yesMathematics, 2021
We consider Lorentz surfaces in R13 satisfying the condition H2−K≠0, where K and H are the Gaussian curvature and the mean curvature, respectively, and call them Lorentz surfaces of general type. For this class of surfaces, we introduce special isotropic
Krasimir Kanchev   +2 more
doaj   +1 more source

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

open access: yes, 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   +4 more
core   +2 more sources

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