Results 41 to 50 of about 133,968 (310)
The PDE describing constant mean curvature surfaces [PDF]
, 2001 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
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A remark on soliton equation of mean curvature flow
Anais da Academia Brasileira de Ciências, 2004 In this note, we consider self-similar immersions of the mean curvature flow and show that a graph solution of the soliton equation, provided it has bounded derivative, converges smoothly to a function which has some special properties (see Theorem 1.1 ...
Li Ma, Yang Yang
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Superharmonicity of curvatures for surfaces of constant mean curvature [PDF]
Pacific Journal of Mathematics, 1992 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 \(R\)
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The spinor representation of constant mean curvature one surfaces in the Hyperbolic space
, 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
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On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
MathematicsIn 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
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Graphs with constant mean curvature in the 3-hyperbolic space
Anais da Academia Brasileira de Ciências, 2002 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
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
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The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Computational and Mathematical Biophysics, 2020 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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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic limb‐threatening ischemia (CLTI) is a severe form of lower‐extremity artery disease characterized by distal lesions and microcirculatory impairment, limiting revascularization efficacy. Rheocarna is a direct hemoperfusion low‐density lipoprotein (LDL) adsorption device with potential rheological and anti‐inflammatory ...
Kunihiro Ishioka +12 more
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Mean Curvature Flow with a Neumann Boundary Condition in Flat Spaces [PDF]
, 2012 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
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