Results 11 to 20 of about 5,561,344 (365)

Developable Ruled Surfaces with Constant Mean Curvature Along a Curve [PDF]

open access: goldMathematics
In this work, we study developable ruled surfaces with constant mean curvature along a curve. The mean curvature of developable ruled surfaces generated by indicatrix curves is calculated.
İsmet Gölgeleyen   +2 more
doaj   +2 more sources

Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

open access: yesUniversal Journal of Mathematics and Applications, 2023
In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
doaj   +1 more source

Hessian estimates for Lagrangian mean curvature equation [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2020
In this paper, we derive a priori interior Hessian estimates for the Lagrangian mean curvature equation if the Lagrangian phase is supercritical and has bounded second derivatives.
Arunima Bhattacharya
semanticscholar   +1 more source

On inextensible ruled surfaces generated via a curve derived from a curve with constant torsion

open access: yesAIMS Mathematics, 2023
If both the arc length and the intrinsic curvature of a curve or surface are preserved, then the flow of the curve or surface is said to be inextensible. The absence of motion-induced strain energy is the physical characteristic of inextensible curve and
Nural Yüksel, Burçin Saltık
doaj   +1 more source

Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

open access: yesCubo, 2023
In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi   +3 more
doaj   +1 more source

The fractional mean curvature flow

open access: yesBruno Pini Mathematical Analysis Seminar, 2020
In this note, we present some recent results in the study of the fractional mean curvature flow, that is a geometric evolution of the boundary of a set whose speed is given by the fractional mean curvature.
Eleonora Cinti
doaj   +1 more source

Gaussian mean curvature flow [PDF]

open access: yesJournal of Evolution Equations, 2010
10 ...
Borisenko, Alexander A., Miquel, Vicente
openaire   +2 more sources

GeoStamp: Detail Transfer Based on Mean Curvature Field

open access: yesMathematics, 2022
A shape detail transfer is the process of extracting the geometric details of a source region and transferring it onto a target region. In this paper, we present a simple and effective method, called GeoStamp, for transferring shape details using a ...
Jung-Ho Park   +3 more
doaj   +1 more source

Constant Mean Curvature Surfaces Along a Spacelike Curve

open access: yesCumhuriyet Science Journal, 2022
We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
doaj   +1 more source

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