Results 21 to 30 of about 13,435 (197)
Journal of Mathematics, 2021 The rototranslation group ℛT is the group comprising rotations and translations of the Euclidean plane which is a 3-dimensional Lie group. In this paper, we use the Riemannian approximation scheme to compute sub-Riemannian limits of the Gaussian ...
Haiming Liu +3 more
doaj +1 more source
Riemann-Finsler surfaces [PDF]
, 2007 This paper study the Gauss-Bonnet theorem for Finsler surfaces with smooth boundary. This is a natural generalization of the Gauss-Bonnet theorem for Riemannian surfaces with smooth boundary as well as an extension of the Gauss-Bonnet theorem for ...
Sabau, Sorin V, Shimada, Hideo
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 18, Page 19035-19061, December 2023., 2023 We propose a numerical framework tailored for simulating the dynamics of vesicles with inextensible membranes, which mimic red blood cells, immersed in a non‐Newtonian fluid environment. A penalty method is proposed to handle the inextensibility constraint by relaxation, allowing a simple computer implementation and an affordable computational load ...
Aymen Laadhari, Ahmad Deeb, Badr Kaoui
wiley +1 more source
On singular generalizations of the Singer–Hopf conjecture
Mathematische Nachrichten, Volume 296, Issue 11, Page 5232-5241, November 2023., 2023 Abstract The Singer–Hopf conjecture predicts the sign of the topological Euler characteristic of a closed aspherical manifold. In this note, we propose singular generalizations of the Singer–Hopf conjecture, formulated in terms of the Euler–Mather characteristic, intersection homology Euler characteristic and, resp., virtual Euler characteristic of a ...
Laurenţiu Maxim
wiley +1 more source
On the Gauss-Bonnet for the quasi-Dirac operators on the sphere
Demonstratio Mathematica, 2017 We investigate examples of Gauss-Bonnet theorem and the scalar curvature for the two-dimensional commutative sphere with quasi-spectral triples obtained by modifying the order-one condition.
Sitarz Andrzej
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Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem
Universe, 2021 In this letter, we use a recent wormhole metric known as a ringhole [Gonzalez-Diaz, Phys. Rev. D 54, 6122, 1996] to determine the surface topology and the deflection angle of light in the weak limit approximation using the Gauss-Bonnet theorem (GBT).
Kimet Jusufi
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General Gauss-Bonnet brane cosmology [PDF]
, 2001 We consider 5-dimensional spacetimes of constant 3-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the presence of a Gauss-Bonnet term. Two classes of non-trivial bulk
Abdesselam B +15 more
core +3 more sources
The Ricci flow on noncommutative two-tori [PDF]
, 2011 In this paper we construct a version of Ricci flow for noncommutative 2-tori, based on a spectral formulation in terms of the eigenvalues and eigenfunction of the Laplacian and recent results on the Gauss-Bonnet theorem for noncommutative tori.Comment ...
A. Connes +38 more
core +2 more sources
Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature [PDF]
, 2014 We relate the total curvature and the isoperimetric deficit of a curve $\gamma$ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $\gamma$.
Cufí, Julià, Reventós, Agustí
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Lorentzian Approximations and Gauss–Bonnet Theorem for E1,1 with the Second Lorentzian Metric
Journal of Mathematics, 2022 In this paper, we consider the Lorentzian approximations of rigid motions of the Minkowski plane EL21,1. By using the method of Lorentzian approximations, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic ...
Haiming Liu, Xiawei Chen
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