Results 21 to 30 of about 267,369 (299)

TOTAL SCALAR CURVATURE AND HARMONIC CURVATURE

open access: yesTaiwanese Journal of Mathematics, 2014
On a compact n-dimensional manifold, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, will be Einstein. This conjecture was proposed in 1984 by Besse, but has yet to be proved.
Yun, Gabjin   +2 more
openaire   +3 more sources

Curvature Potential Unveiled Topological Defect Attractors

open access: yesCrystals, 2021
We consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and ...
Luka Mesarec   +5 more
doaj   +1 more source

Curvature-induced expulsion of actomyosin bundles during cytokinetic ring contraction

open access: yeseLife, 2016
Many eukaryotes assemble a ring-shaped actomyosin network that contracts to drive cytokinesis. Unlike actomyosin in sarcomeres, which cycles through contraction and relaxation, the cytokinetic ring disassembles during contraction through an unknown ...
Junqi Huang   +9 more
doaj   +1 more source

Emergent Differential Organization of Airway Smooth Muscle Cells on Concave and Convex Tubular Surface

open access: yesFrontiers in Molecular Biosciences, 2021
Airway smooth muscle cells (ASMCs) exist in a form of helical winding bundles within the bronchial airway wall. Such tubular tissue provides cells with considerable curvature as a physical constraint, which is widely thought as an important determinant ...
Yang Jin   +12 more
doaj   +1 more source

Yang-Mills equations on conformally connected torsion-free 4-manifolds with different signatures

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper we study spaces of conformal torsion-free connection of dimension 4 whose connection matrix satisfies the Yang-Mills equations. Here we generalize and strengthen the results obtained by us in previous articles, where the angular metric of ...
Leonid N Krivonosov   +1 more
doaj   +1 more source

Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing

open access: yesEntropy, 2021
The Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on the development of artificial intelligence (AI) and other branches of computer science.
Yihao Luo   +3 more
doaj   +1 more source

Hollow Core Bragg Fiber-Based Sensor for Simultaneous Measurement of Curvature and Temperature

open access: yesSensors, 2021
In this paper, the hollow core Bragg fiber (HCBF)-based sensor based on anti-resonant reflecting optical waveguide (ARROW) model is proposed and experimentally demonstrated for simultaneous measurement of curvature and temperature by simply sandwiching a
Zongru Yang, Weihao Yuan, Changyuan Yu
doaj   +1 more source

Curvature-Adjustable Polymeric Nanolens Fabrication Using UV-Controlled Nanoimprint Lithography

open access: yesMicromachines, 2022
Nanolenses are gaining importance in nanotechnology, but their challenging fabrication is thwarting their wider adoption. Of particular challenge is facile control of the lens’ curvature.
Qiang Li   +4 more
doaj   +1 more source

Loewner curvature

open access: yesMathematische Annalen, 2015
The purpose of this paper is to interpret the phase transition in the Loewner theory as an analog of the hyperbolic variant of the Schur theorem about curves of bounded curvature. We define a family of curves that have a certain conformal self-similarity property. They are characterized by a deterministic version of the domain Markov property, and have
Lind, Joan R., Rohde, Steffen
openaire   +3 more sources

Linear Tool Path-Smoothing Method in High-Speed Machining Based on Error Feasible Area and Curvature Optimization

open access: yesApplied Sciences, 2022
Linear tool path is widely used in high-speed NC machining. However, the geometrical discontinuity of the corner between the linear tool paths will lead to fluctuations in speed, acceleration and jerk, which can excite machinery vibration and reduce the ...
Xuefeng Yang, Youpeng You
doaj   +1 more source

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