Results 11 to 20 of about 1,647 (169)
Extended Riemannian geometry II: local heterotic double field theory [PDF]
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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Local conformal symmetry in non-Riemannian geometry and the origin of physical scales [PDF]
European Physical Journal C: Particles and Fields, 2017 We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by adopting as a
Marco de Cesare +2 more
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Local Riesz Transform and Local Hardy Spaces on Riemannian Manifolds with Bounded Geometry [PDF]
The Journal of Geometric Analysis, 2022 We prove that if $τ$ is a large positive number, then the atomic Goldberg-type space $\mathfrak{h}^1(N)$ and the space $\mathfrak{h}_{\mathcal R_τ}^1(N)$ of all integrable functions on $N$ whose local Riesz transform $\mathcal R_τ$ is integrable are the same space on any complete noncompact Riemannian manifold $N$ with Ricci curvature bounded from ...
Meda S., Veronelli G.
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Surface measure on, and the local geometry of, sub-Riemannian manifolds
Calculus of Variations and Partial Differential Equations, 2023 AbstractWe prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for the uniform convergence of parametrized sub-Riemannian distances, and local uniform asymptotics for the diameter of small metric balls.
Sebastiano Don, Valentino Magnani
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Extended Riemannian Geometry I: Local Double Field Theory [PDF]
Annales Henri Poincaré, 2018 v2: 50 pages, typos corrected, published ...
Deser, Andreas, Sämann, Christian
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Probabilistic Principal Geodesic Deep Metric Learning
IEEE Access, 2022 Similarity learning which is useful for the purpose of comparing various characteristics of images in the computer vision field has been often applied for deep metric learning (DML).
Dae Ha Kim, Byung Cheol Song
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The geometry of hemi-slant submanifolds of a locally product Riemannian manifold
TURKISH JOURNAL OF MATHEMATICS, 2015 In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-
Taştan, Hakan Mete, Özdemir, Fatma
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Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry [PDF]
Geometriae Dedicata, 2019 17 pages. This is an improvement of the result about the continuity of the isoperimetric profile function contained in arXiv:1404.3245. The arguments used here are a slight modification of the ones already used in arXiv:1404.3245.
Muñoz Flores, Abraham Enrique +1 more
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Erratum to ``The geometry of hemi-slant submanifolds of a locally product Riemannian manifold"
TURKISH JOURNAL OF MATHEMATICS, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taştan, Hakan Mete, Özdemir, Fatma
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Physical Review D, 2023 In this paper, we delve into the significance of local scale symmetry and the role of the associated noether current, within gravitational theories which are based in non-riemannian background space. Our focus is in Weyl and in Riemann-Cartan geometry based gravitational theories.
R. Gonzalez Quaglia, Israel Quiros
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