Results 21 to 30 of about 26,863 (267)
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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Mean Curvature in the Light of Scalar Curvature [PDF]
Annales de l'Institut Fourier, 2020 We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these ...
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Development of an On-Board Measurement System for Railway Vehicle Wheel Flange Wear
Sensors, 2020 The maintenance of railway systems is critical for their safe operation. However some landscape geographical features force the track line to have sharp curves with small radii. Sharp curves are known to be the main source of wheel flange wear.
Pacifique Turabimana +1 more
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Surface Energy of Curved Surface Based on Lennard-Jones Potential
Nanomaterials, 2021 Although various phenomena have confirmed that surface geometry has an impact on surface energy at micro/nano scales, determining the surface energy on micro/nano curved surfaces remains a challenge.
Dan Wang, Zhili Hu, Gang Peng, Yajun Yin
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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
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International Journal of Modern Physics D, 2002 The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the Ricci scalar of curvature of a generic fourth order theory and then ask for the conditions to get an accelerated expansion.
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TOTAL SCALAR CURVATURE AND HARMONIC CURVATURE
Taiwanese Journal of Mathematics, 2014 On a compact n-dimensional manifold, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, will be Einstein. This conjecture was proposed in 1984 by Besse, but has yet to be proved.
Yun, Gabjin +2 more
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Advanced Materials Interfaces, 2020 Membrane budding is an essential process during various biological activities, such as intercellular communication and transportation of life‐sustaining molecules and signals, which primarily occur with the aid of particular proteins.
Yeon Kyung Lee +3 more
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The Graph Curvature Calculator and the Curvatures of Cubic Graphs [PDF]
Experimental Mathematics, 2019 We classify all cubic graphs with either non-negative Ollivier-Ricci curvature or non-negative Bakry-Émery curvature everywhere. We show in both curvature notions that the non-negatively curved graphs are the prism graphs and the Möbius ladders. We also highlight an online tool for calculating the curvature of graphs under several variants of these ...
Cushing, David +5 more
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Extended curvatures and Lie pseudoalgebras [PDF]
ITM Web of Conferences, 2022 The aim of the paper is to prove that if some extended curvatures on a preinfinitesimal module L, considered in the paper, vanish, then the derived preinfinitesimal module L(1) is a Lie pseudoalgebra. Two non-trivial examples are given. The first example
Popescu Marcela, Popescu Paul
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