Results 71 to 80 of about 5,469,641 (325)
Constant mean curvature surfaces with circular boundary in R³
Anais da Academia Brasileira de Ciências, 2006 In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors.
Pedro A. Hinojosa
doaj +1 more source
On a Surface Associated to the Catalan Triangle
Axioms, 2022 We define a surface that interpolates the ballot numbers in the Catalan triangle corresponding to every pair of nonnegative integers (except for the origin).
Marilena Jianu +5 more
doaj +1 more source
The extension and convergence of mean curvature flow in higher codimension [PDF]
, 2011 In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension $d\geq1$, which generalizes the extension theorem for the mean curvature flow of ...
Liu, Kefeng +3 more
core
Mean curvature flow of monotone Lagrangian submanifolds
, 2006 We use holomorphic disks to describe the formation of singularities in the mean curvature flow of monotone Lagrangian submanifolds in $\mathbb C^{n}$.Comment: 37 pages, 3 ...
G. Huisken +13 more
core +2 more sources
Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target
FEBS Letters, EarlyView.This study shows Plasmodium falciparum GEP1 is vital for activating sexual stages of malarial parasites even independently of a mosquito factor. Knockout parasites completely fail gamete formation even when a phosphodiesterase inhibitor is added. Two single‐nucleotide polymorphisms (V241L and S263P) are found in 12%–20% of field samples.
Frederik Huppertz +5 more
wiley +1 more source
Characterizations of Unit Darboux Ruled Surface with Quaternions
Journal of New Theory, 2023 This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains
Abdussamet Çalışkan
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Mean curvature flow in a Ricci flow background
, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
core +1 more source
Isoperimetry with upper mean curvature bounds and sharp stability estimates [PDF]
, 2016 It was proved by Almgren that among boundaries whose mean curvature is bounded from above, perimeter is uniquely minimized by balls. We obtain sharp stability estimates for Almgren’s isoperimetric principle and, as an application, we deduce a sharp ...
B. Krummel, F. Maggi
semanticscholar +1 more source
FEBS Letters, EarlyView.Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia +5 more
wiley +1 more source
Convergence of diffusion generated motion to motion by mean curvature [PDF]
, 2017 We provide a new proof of convergence to motion by mean curvature (MMC) for the Merriman–Bence–Osher thresholding algorithm. The proof is elementary and does not rely on maximum principle for the scheme.
Drew Swartz, N. Yip
semanticscholar +1 more source