Results 11 to 20 of about 480,873 (352)
On the sum of Ricci-curvatures for weighted graphs [PDF]
Pure and Applied Mathematics Quarterly, 2020 In this paper, we generalize Lin-Lu-Yau's Ricci curvature to weighted graphs and give a simple limit-free definition. We prove two extremal results on the sum of Ricci curvatures for weighted graph. A weighted graph $G=(V,E,d)$ is an undirected graph $G=
Shuliang Bai +3 more
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Geometrization of string cloud spacetime in general relativity
AIMS Mathematics, 2023 The purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor $ \mathcal{T} $ having string cloud fluid density $ \rho $ and string tension $ \lambda $, named relativistic string cloud spacetime. We obtain
Mohd Danish Siddiqi +3 more
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Edge-based analysis of networks: curvatures of graphs and hypergraphs [PDF]
Theory in biosciences, 2020 The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of (hyper)edges, instead of ...
Marzieh Eidi +4 more
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Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$
Journal of New Theory, 2022 The paper introduces a new kind of special ruled surface. The base of each ruled surface is taken to be one of the Smarandache curves of a given curve according to Frenet frame, and the generator (ruling) is chosen to be the corresponding unit Darboux ...
Elif Çan +2 more
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Intrinsic Lipid Curvatures of Mammalian Plasma Membrane Outer Leaflet Lipids and Ceramides
bioRxiv, 2021 We developed a global X-ray data analysis method to determine the intrinsic curvatures of lipids hosted in inverted hexagonal phases. In particular, we combined compositional modelling with molecular shape-based arguments to account for non-linear mixing
Michael Kaltenegger +5 more
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Axioms, 2021 We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensional Euclidean space E4. We find the Gauss map of helicoidal hypersurface in E4. We obtain the characteristic polynomial of shape operator matrix. Then, we
Erhan Güler
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Approximation of Gaussian Curvature by the Angular Defect: An Error Analysis
Mathematical and Computational Applications, 2021 It is common practice in science and engineering to approximate smooth surfaces and their geometric properties by using triangle meshes with vertices on the surface.
Marie-Sophie Hartig
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Mathematics, 2021 According to the Frenet equations of the null curves in semi-Euclidean 4-space, the existence conditions and the geometrical characterizations of the Bertrand curves of the null curves are given in this paper.
Jianguo Sun, Yanping Zhao
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On normal curves and their characterizations in Lorentzian n-space
AIMS Mathematics, 2020 This paper deals with the generalization of null and non-null normal curves in Lorentzian n -space E1n. We reveal necessary and sufficient condition for a curve to be a normal curve in Lorentzian n -space E1n.
Özgür Boyacıoğlu Kalkan
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Mathematics, 2022 In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır +3 more
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