Results 11 to 20 of about 62,341 (171)
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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Intrinsic fractional Taylor formula
Bruno Pini Mathematical Analysis Seminar, 2022 We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
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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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Quantum State Assignment Flows
Entropy, 2023 This paper introduces assignment flows for density matrices as state spaces for representation and analysis of data associated with vertices of an underlying weighted graph.
Jonathan Schwarz +5 more
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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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Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry [PDF]
Geometriae Dedicata, 2019 For a complete noncompact connected Riemannian manifold with bounded geometry $M^n$, we prove that the isoperimetric profile function $I_{M^n}$ is a locally $\left(1-\frac{1}{n}\right)$-H lder continuous function and so in particular it is continuous.
Muñoz Flores, Abraham Enrique +1 more
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A potential for Generalized Kahler Geometry [PDF]
, 2007 We show that, locally, all geometric objects of Generalized Kahler Geometry can be derived from a function K, the "generalized Kahler potential''. The metric g and two-form B are determined as nonlinear functions of second derivatives of K.
Lindstrom, Ulf +3 more
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The jump and stagnation of mass with speed
IET Quantum Communication, 2022 In the general theory of relativity, the four‐dimensional space‐time of describing a mass body accelerated motion or in a gravitational field, although it is a curved Riemannian geometric space from the perspective of “integral geometry”, but for any ...
Jun Dong, Na Dong
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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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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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