Results 41 to 50 of about 621,294 (188)
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
doaj +1 more source
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
doaj +1 more source
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
core +2 more sources
Physical Review D, 2019 In this paper, we investigate light bending in the spacetime of regular black holes with cosmic strings in weak field limits. To do so, we apply the Gauss-Bonnet theorem to the optical geometry of the black hole; and, using the Gibbons-Werner method, we ...
A. Övgün
semanticscholar +1 more source
European Physical Journal C: Particles and Fields, 2022 In this paper, we investigated the effect of dark matter on the weak deflection angle by black holes at the galactic center. We consider three known dark matter density profiles such as the Cold Dark Matter, Scalar Field Dark Matter, and the Universal ...
Reggie C. Pantig, Ali Övgün
doaj +1 more source
From Homma's theorem to Pick's theorem [PDF]
, 2005 From Homma’s PL Gauss-Bonnet theorem applied on a PL-complex in a plane, many generalizations of Pick’s theorem on a lattice PL-figure are obtained in a unified geometric ...
Kurogi, Tetsunori, Yasukura, Osami
core +2 more sources