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On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ [PDF]

Advanced Nonlinear Studies
We classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also ...
Nelli Barbara, Pipoli Giuseppe, Russo Giovanni   +2 more
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How Membrane Geometry Regulates Protein Sorting Independently of Mean Curvature [PDF]

ACS Central Science, 2020
Jannik B. Larsen, Kadla R. Rosholm, Celeste Kennard, Søren L. Pedersen, Henrik K. Munch, Vadym Tkach, John J. Sakon, Thomas Bjørnholm, Keith R. Weninger, Poul Martin Bendix, Knud J. Jensen, Nikos S Hatzakis, Mark J. Uline, Dimitrios Stamou   +13 more
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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]

AUT Journal of Mathematics and Computing, 2021
Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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Motion by crystalline-like mean curvature: A survey

Bulletin of Mathematical Sciences, 2022
We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
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Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

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

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

Cubo, 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, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan   +3 more
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The fractional mean curvature flow

Bruno 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
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GeoStamp: Detail Transfer Based on Mean Curvature Field

Mathematics, 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, Ji-Hye Moon, Sanghun Park, Seung-Hyun Yoon   +3 more
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Constant Mean Curvature Surfaces Along a Spacelike Curve

Cumhuriyet 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
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