Results 31 to 40 of about 994,814 (255)
Mathematische 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
Ricci curvature on polyhedral surfaces via optimal transportation [PDF]
, 2014 The problem of defining correctly geometric objects such as the curvature is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs.
Loisel, Benoît, Romon, Pascal
core +6 more sources
Strongly positive curvature [PDF]
, 2014 We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive curvature operator and positive sectional curvature, and stems from the work of Thorpe in the 1970s.
Bettiol, Renato G. +1 more
core +1 more source
Curvature-induced expulsion of actomyosin bundles during cytokinetic ring contraction
eLife, 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
Frontiers 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
Spatial curvature endgame: Reaching the limit of curvature determination [PDF]
, 2016 Current constraints on spatial curvature show that it is dynamically negligible: $|\Omega_{\rm K}| \lesssim 5 \times 10^{-3}$ (95% CL). Neglecting it as a cosmological parameter would be premature however, as more stringent constraints on $\Omega_{\rm K}$
Allison, Rupert +2 more
core +2 more sources
Yang-Mills equations on conformally connected torsion-free 4-manifolds with different signatures
Vestnik 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
Entropy, 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
Scalar Curvature and Q-Curvature of Random Metrics [PDF]
The Journal of Geometric Analysis, 2010 We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.
Canzani, Yaiza +2 more
openaire +4 more sources
Hollow Core Bragg Fiber-Based Sensor for Simultaneous Measurement of Curvature and Temperature
Sensors, 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