Samankaltainen aineisto
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Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds
Nobili, Francesco; Violo, Ivan Yuri (Elsevier, 2024)We study the qualitative stability of two classes of Sobolev inequalities on Riemannian manifolds. In the case of positive Ricci curvature, we prove that an almost extremal function for the sharp Sobolev inequality is close ... -
Riemannian Ricci curvature lower bounds in metric measure spaces with σ-finite measure
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio (American Mathematical Society, 2015)In a prior work of the first two authors with Savar´e, a new Riemannian notion of a lower bound for Ricci curvature in the class of metric measure spaces (X, d, m) was introduced, and the corresponding class of spaces ... -
Topics in the geometry of non-Riemannian lie groups
Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017) -
Conformality and Q-harmonicity in sub-Riemannian manifolds
Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro (Elsevier Masson, 2019)We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact ... -
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 ...
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