In: Advances in Applied Clifford Algebras, 2015, vol. 25, no. 2, p. 453-485
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In: Communications in Mathematical Physics, 2015, vol. 338, no. 3, p. 1327-1361
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In: Mediterranean Journal of Mathematics, 2015, vol. 12, no. 4, p. 1397-1427
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In: Ima Journal of Numerical Analysis, 2016, vol. 36, no. 3, p. 1167-1192
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In: Discrete Applied Mathematics, 2020, vol. 276, p. 115–120
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In: Journal of Functional Analysis, 2020, vol. 278, no. 6, p. 108403
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when...
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In: Mathematische Annalen, 2019, vol. 373, no. 3, p. 1177–1210
We prove that any proper, geodesic metric space whose Dehn function grows asymptotically like the Euclidean one has asymptotic cones which are non-positively curved in the sense of Alexandrov, thus are CAT(0) . This is new already in the setting of Riemannian manifolds and establishes in particular the borderline case of a result about the sharp isoperimetric constant which implies Gromov...
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In: Journal of Nonlinear Science, 2014, vol. 24, no. 5, p. 769-808
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In: Communications in Mathematical Physics, 2014, vol. 332, no. 3, p. 1083-1111
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In: Geometriae Dedicata, 2014, vol. 169, no. 1, p. 323-341
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