Results 51 to 60 of about 587 (217)
Numerical metrics, curvature expansions and Calabi-Yau manifolds
Journal of High Energy Physics, 2020 We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds.
Wei Cui, James Gray
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On the possibility of a novel (A)dS/CFT relationship emerging in Asymptotic Safety
Journal of High Energy Physics, 2022 Quantum Einstein Gravity (QEG), nonperturbatively renormalized by means of a certain asymptotically safe renormalization group (RG) trajectory, is explored by solving its scale dependent effective field equations and embedding the family of emerging 4 ...
Renata Ferrero, Martin Reuter
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Harmonic forms on ALE Ricci-flat 4-manifolds [PDF]
In this paper, we compute the expansion of harmonic functions and 1-forms on ALE Ricci-flat 4-manifolds.
Gao Chen, Yan Hao
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The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds [PDF]
Geometry & Topology, 2017 It is shown by Colding and Minicozzi the uniqueness of the tangent cone at infinity of Ricci-flat manifolds with Euclidean volume growth which has at least one tangent cone at infinity with a smooth cross section. In this article we raise an example of the Ricci-flat manifold implying that the assumption for the volume growth in the above result is ...
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Conformal invariance of (0, 2) sigma models on Calabi-Yau manifolds
Journal of High Energy Physics, 2018 Long ago, Nemeschansky and Sen demonstrated that the Ricci-flat metric on a Calabi-Yau manifold could be corrected, order by order in perturbation theory, to produce a conformally invariant (2, 2) nonlinear sigma model.
Ian T. Jardine, Callum Quigley
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Advanced Optical Materials, EarlyView.Theoretical lessons are key for molecules presenting an inverted singlet‐triplet excited state (e.g. S1 and T1) energy difference. This perspective provides a snapshot of the role played by calculations in last years, not only to anticipate experimental findings but also for driving high‐throughput virtual screenings, as well as the main challenge to ...
Ángel José Pérez‐Jiménez +2 more
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On the geometry of generalized nonholonomic Kenmotsu manifolds
Дифференциальная геометрия многообразий фигур, 2022 The concept of a generalized nonholonomic Kenmotsu manifold is introduced. In contrast to the previously defined nonholonomic Kenmotsu manifold, the manifold studied in the article is an almost normal almost contact metric manifold of odd rank.
A.V. Bukusheva
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Communications on Pure and Applied Mathematics, EarlyView.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
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Towards a Geometrization of Renormalization Group Histories in Asymptotic Safety
Universe, 2021 Considering the scale-dependent effective spacetimes implied by the functional renormalization group in d-dimensional quantum Einstein gravity, we discuss the representation of entire evolution histories by means of a single, (d+1)-dimensional manifold ...
Renata Ferrero, Martin Reuter
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Examples of asymptotically conical Ricci-flat Kähler manifolds [PDF]
Mathematische Zeitschrift, 2009 32 pages, 1 figure Some material added on embeddings of cones and some minor corrections ...
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