Results 41 to 50 of about 938,544 (352)
Gaussian curvature from flat elastica sheets [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010 We discuss methods of reversibly inducing non-developable surfaces from flat sheets of material at the micro-scale all the way to macroscopic objects. We analyse the elastic ground states of a nematic glass in the membrane approximation as a function of temperature for disclination defects of topological charge +1.
Modes, C. D. +2 more
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Existence and non existence results for the singular Nirenberg problem [PDF]
, 2016 In this paper we study the problem, posed by Troyanov (Trans AMS 324: 793–821, 1991), of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities.
DE MARCHIS, Francesca +1 more
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Some Characterizations of Generalized Null Scrolls
Mathematics, 2019 In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed.
Jinhua Qian +2 more
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Light in curved two-dimensional space
Advances in Physics: X, 2020 The extrinsic and intrinsic curvature of a two-dimensional waveguide influences wave propagation therein. While this can already be apprehended from a geometric point of view in terms of geodesics generalizing straight lines as the shortest distance ...
Vincent H. Schultheiss +2 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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Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary [PDF]
, 2007 We investigate the zero temperature structure of a crystalline monolayer constrained to lie on a two-dimensional Riemannian manifold with variable Gaussian curvature and boundary.
D. P. Hardin +9 more
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High-Order Approximation of Gaussian Curvature with Regge Finite Elements [PDF]
SIAM Journal on Numerical Analysis, 2019 A widely used approximation of the Gaussian curvature on a triangulated surface is the angle defect, which measures the deviation between $2\pi$ and the sum of the angles between neighboring edges emanating from a common vertex.
Evan S. Gawlik
semanticscholar +1 more source
Prescribing Gaussian curvature on S2 [PDF]
Duke Mathematical Journal, 1990 What functions K can be the Gaussian curvature of a metric on \(S^ 2\) which is pointwise conformal to the standard metric? It is well known that this problem reduces to solving the nonlinear PDE \(\Delta u=1- Ke^{2u}\) where \(\Delta\) is the Laplacian on \(S^ 2\) with its standard metric.
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Gravitational and Harmonic Oscillator Potentials on Surfaces of Revolution [PDF]
, 2008 In this paper, we consider the motion of a particle on a surface of revolution under the influence of a central force field. We prove that there are at most two analytic central potentials for which all the bounded, nonsingular orbits are closed and that
Santoprete, Manuele
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Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space [PDF]
Analysis & PDE, 2019 Generalizing the notion of domains of dependence in the Minkowski space, we define and study regular domains in the affine space with respect to a proper convex cone.
Xin Nie, Andrea Seppi
semanticscholar +1 more source