7 citations · 15 across the 7 of their papers we have counts for
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math.FA2020
Partial derivatives in the nonsmooth setting
Nicola Gigli, Chiara Rigoni
We study partial derivatives on the product of two metric measure structures, in particular in connection with calculus via modules as proposed by the first named author. Our main…
math.FA2020
Lie brackets of nonsmooth vector fields and commutation of their flows
Chiara Rigoni, Eugene Stepanov, Dario Trevisan
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…
math.FA2020★ 1 cited
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
Matthias Erbar, Chiara Rigoni, Karl-Theodor Sturm +1
We develop the theory of tamed spaces which are Dirichlet spaces with distribution-valued lower bounds on the Ricci curvature and investigate these from an Eulerian point of view.…