Geometrical frustration in nonlinear mechanics of screw dislocation [PDF]
Royal Society Open ScienceThe existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations.
Shunsuke Kobayashi, Ryuichi Tarumi
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Some Properties of the Potential Field of an Almost Ricci Soliton
MathematicsIn this article, we are interested in finding necessary and sufficient conditions for a compact almost Ricci soliton to be a trivial Ricci soliton. As a first result, we show that positive Ricci curvature and, for a nonzero constant c, the integral of ...
Adara M. Blaga, Sharief Deshmukh
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Hodge Decomposition of Conformal Vector Fields on a Riemannian Manifold and Its Applications
MathematicsFor a compact Riemannian m-manifold (Mm,g),m>1, endowed with a nontrivial conformal vector field ζ with a conformal factor σ, there is an associated skew-symmetric tensor φ called the associated tensor, and also, ζ admits the Hodge decomposition ζ=ζ¯+∇ρ,
Hanan Alohali +3 more
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On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth [PDF]
Calculus of Variations and Partial Differential Equations, 2021 In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth.
Gioacchino Antonelli +3 more
semanticscholar +2 more sources
Beyond the Meal: Trophic Controls by Pelagic and Demersal Chondrichthyes in Two Different Mediterranean Marine Food Webs. [PDF]
Ecol EvolPelagic and demersal sharks played different top‐down controls in the food web. Pelagic sharks act as apex predators impacting mesoconsumers. Trophic controls patterns by demersal sharks change according to ecosystem traits. ABSTRACT Pelagic and demersal Chondrichthyes can assume different patterns of trophic controls on marine food webs, sustaining ...
Ricci P +7 more
europepmc +2 more sources
Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces [PDF]
Potential Analysis, 2023 It is known that on RCD spaces one can define a distributional Ricci tensor Ric\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Camillo Brena, Nicola Gigli
semanticscholar +1 more source
On the Geometry in the Large of Einstein-like Manifolds
Mathematics, 2022 Gray has presented the invariant orthogonal irreducible decomposition of the space of all covariant tensors of rank 3, obeying only the identities of the gradient of the Ricci tensor.
Josef Mikeš +3 more
doaj +1 more source
Tensor Decompositions and Their Properties
Mathematics, 2023 In the present paper, we study two different approaches of tensor decomposition. The first part aims to study some properties of tensors that result from the fact that some components are vanishing in certain coordinates.
Patrik Peška, Marek Jukl, Josef Mikeš
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Universe, 2022 We investigate electromagnetic, gravitational, and plasma-related perturbations to the first order on homogeneous and hypersurface orthogonal locally rotationally symmetric (LRS) class II spacetimes.
Philip Semrén
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Phanerozoic Large Igneous Province, Petroleum System, and Source Rock Links
Geophysical Monograph Series, Page 191-228., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Steven C. Bergman +2 more
wiley +1 more source