Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
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Infinitesimal Hilbertianity of Weighted Riemannian Manifolds
Lučić, Danka; Pasqualetto, Enrico (Canadian Mathematical Society, 2020)The main result of this paper is the following: any weighted Riemannian manifold (M,g,𝜇), i.e., a Riemannian manifold (M,g) endowed with a generic non-negative Radon measure 𝜇, is infinitesimally Hilbertian, which ... -
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2023)We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations ... -
Characterisation of upper gradients on the weighted Euclidean space and applications
Lučić, Danka; Pasqualetto, Enrico; Rajala, Tapio (Springer, 2021)In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper ... -
Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
Gigli, Nicola; Mondino, Andrea; Rajala, Tapio (Walterde Gruyter GmbH & Co. KG, 2015)We show that in any infinitesimally Hilbertian CD .K; N /-space at almost every point there exists a Euclidean weak tangent, i.e., there exists a sequence of dilations of the space that converges to a Euclidean space ... -
Infinitesimal Hilbertianity of Locally CAT(κ)-Spaces
Di Marino, Simone; Gigli, Nicola; Pasqualetto, Enrico; Soultanis, Elefterios (Springer, 2021)We show that, given a metric space (Y,d)(Y,d) of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure μμ on YY giving finite mass to bounded sets, the resulting metric measure space ...
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