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How Membrane Geometry Regulates Protein Sorting Independently of Mean Curvature [PDF]

open access: yesACS Central Science, 2020
Jannik B. Larsen   +13 more
doaj   +2 more sources

Weighted Ricci curvature in Riemann-Finsler geometry [PDF]

open access: yesAUT 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
doaj   +1 more source

Motion by crystalline-like mean curvature: A survey

open access: yesBulletin 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
doaj   +1 more source

Weighted mean curvature [PDF]

open access: yesSignal Processing, 2019
Signal Processing ...
Yuanhao Gong, Orcun Goksel
openaire   +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

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

Mean Curvature Skeletons [PDF]

open access: yesComputer Graphics Forum, 2012
AbstractInspired by recent developments in contraction‐based curve skeleton extraction, we formulate the skeletonization problem via mean curvature flow (MCF). While the classical application of MCF is surface fairing, we take advantage of its area‐minimizing characteristic to drive the curvature flow towards the extreme so as to collapse the input ...
Andrea Tagliasacchi   +3 more
openaire   +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

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

Mean Curvature in the Light of Scalar Curvature [PDF]

open access: yesAnnales de l'Institut Fourier, 2020
We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these ...
openaire   +3 more sources

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