Results 41 to 50 of about 3,233,557 (302)
Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces [PDF]
We present a mathematical result that allows computing the discrete mean curvature of a polygonal surface from the so-called concentrated curvature generally used for Gaussian curvature estimation. Our result adds important value to concentrated curvature as a geometric and metric tool to study accurately the morphology of a surface.
M. M. Mesmoudi +2 more
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Superharmonicity of curvatures for surfaces of constant mean curvature [PDF]
The article deals with the superharmonicity of some curvatures (the scalar curvature \(R\), the Gauss-Kronecker curvature \(K\), the \(\nu\)-th mean curvature \({K}_ \nu\), the level curvature \(L\)) of hypersurfaces of constant mean curvature in \(\mathbb{R}^ n\). For instance, it is proved that for a hypersurface of positive sectional curvatures \(R\)
openaire +2 more sources
On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
doaj +1 more source
The PDE describing constant mean curvature surfaces [PDF]
summary:We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential ...
Wu, Hongyou
core +1 more source
Forced anisotropic mean curvature flow of graphs in relative geometry [PDF]
summary:The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics.
Beneš, Michal, Hoang, Dieu Hung
core +3 more sources
Graphs with constant mean curvature in the 3-hyperbolic space
In this work we will deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar domains.
PEDRO A. HINOJOSA
doaj +1 more source
ABSTRACT Introduction Peritoneal dialysis (PD) is an established home‐based kidney replacement therapy (KRT), but its uptake remains low in Japan. We evaluated whether individualized education in a dedicated outpatient clinic was associated with the initiation of PD.
Yasuko Ito +7 more
wiley +1 more source
The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy ...
Akopyan Arsenyi, Edelsbrunner Herbert
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Mean Curvature Flow with a Neumann Boundary Condition in Flat Spaces [PDF]
In this thesis I study mean curvature flow in both Euclidean and Minkowski space with a Neumann boundary condition. In Minkowski space I show that for a convex timelike cone boundary condition, with compatible spacelike initial data, mean curvature flow
LAMBERT, BENJAMIN,STEPHEN
core
Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source

