Results 51 to 60 of about 71,420 (241)
Coordinate‐ and Spacetime‐Independent Quantum Physics
Annalen der Physik, EarlyView.This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
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Ricci curvatures on Hermitian manifolds
Transactions of the American Mathematical Society, 2017 In this paper, we introduce the first Aeppli-Chern class for complex manifolds and show that the ( 1 , 1 ) (1,1) -component of the curvature 2 2 -form of the Levi-Civita connection on the anti-canonical line bundle represents this class. We systematically investigate the relationship
Liu, Kefeng, Yang, Xiaokui
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An axially symmetric spacetime with causality violation in Ricci-inverse gravity
European Physical Journal C: Particles and Fields, 2023 In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an anti-curvature scalar that is obtained from the anti-curvature tensor which is the inverse of the Ricci ...
J. C. R. de Souza, A. F. Santos
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Kropina Metrics with Isotropic Scalar Curvature
Axioms, 2023 In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
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Annalen der Physik, EarlyView.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
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Stimuli‐Responsive Chemical Systems That Mimic Biological Dynamics
Chemistry – A European Journal, EarlyView.Chemists are designing synthetic systems that mimic life's dynamic behaviors, such as motion, sensing, adaptation, and compartmentalization, by integrating reaction networks with stimuli like light, pH, and chemical fuels. This mini‐review surveys molecular machines, responsive materials, nucleic acid networks, and artificial cells, highlighting how ...
Antonio Aguanell +3 more
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Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
Mathematics, 2020 The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
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Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature
Advances in Mathematical Physics, 2021 Let Mn,g,f be a complete gradient shrinking Ricci soliton of dimension n≥3. In this paper, we study the rigidity of Mn,g,f with pointwise pinching curvature and obtain some rigidity results.
Yawei Chu, Dehe Li, Jundong Zhou
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Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds
AIMS Mathematics, 2022 The present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds.
Yanlin Li +3 more
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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