Emanuele Caputo

activity

20212026

most citedParallel transport on non-collapsed

RCD (K, N)

spaces

2 citations · 3 across the 15 of their papers we have counts for

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math.DG2026

Sobolev-to-Lipschitz property of geodesically complete spaces with curvature bounded from above

Emanuele Caputo, Nicola Cavallucci, Toni Ikonen

We prove that every length space with curvature bounded from above that is geodesically complete has the Sobolev-to-Lipschitz property with exponent infinity. That is, every Sobole…

math.DG2021★ 2 cited

Parallel transport on non-collapsed $RCD (K, N)$ spaces

Emanuele Caputo, Nicola Gigli, Enrico Pasqualetto

We provide a general theory for parallel transport on non-collapsed $RCD$ spaces obtaining both existence and uniqueness results. Our theory covers the case of geodesics and,…

Sobolev-to-Lipschitz property of geodesically complete spaces with curvature bounded from above

Parallel transport on non-collapsed RCD(K,N) spaces

Parallel transport on non-collapsed $RCD (K, N)$ spaces