683 citations · 6k across the 101 of their papers we have counts for
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A counterexample to gluing theorems for MCP metric measure spaces
Luca Rizzi
Perelman's doubling theorem asserts that the metric space obtained by gluing along their boundaries two copies of an Alexandrov space with curvature is an Alexandrov space…
On the essential self-adjointness of singular sub-Laplacians
Valentina Franceschi, Dario Prandi, Luca Rizzi
We prove a general essential self-adjointness criterion for sub-Laplacians on complete sub-Riemannian manifolds, defined with respect to singular measures. As a consequence, we sho…
Andromeda's Parachute: A Bright Quadruply Lensed Quasar at z=2.377
Kate H. R. Rubin, John M. O'Meara, Kathy L. Cooksey +8
We present Keck Cosmic Web Imager spectroscopy of the four putative images of the lensed quasar candidate J014709+463037 recently discovered by Berghea et al. (2017). The data veri…
Sub-Riemannian interpolation inequalities
Davide Barilari, Luca Rizzi
We prove that ideal sub-Riemannian manifolds (i.e., admitting no non-trivial abnormal minimizers) support interpolation inequalities for optimal transport. A key role is played by…
DDO 161 and UGCA 319: an isolated pair of nearby dwarf galaxies
I. D. Karachentsev, L. N. Makarova, R. B. Tully +3
We report HST/ACS observations of two nearby gas-rich dwarf galaxies: DDO 161 and UGCA 319. Their distances determined via the Tip of the Red Giant Branch are 6.03 (-0.21/+0.29) Mp…
On Green's proof of infinitesimal Torelli theorem for hypersurfaces
Luca Rizzi, Francesco Zucconi
We prove an equivalence between the infinitesimal Torelli theorem for top forms on a hypersurface contained inside a Grassmannian and the theory of adjoint volume forms…