From the 1 of 20 linked papers with an AI index.
20 papers
Sharp refined-direction Kakeya estimates in finite Heisenberg groups
Thang Pham, Andrea Pinamonti, Dung The Tran +1
Let and let be an odd prime power. The first aim of this paper is to prove that, for every and every , the following sharp…
A 'global' Perspective on the Differential Geometry of Wasserstein Spaces
Lorenzo Dello Schiavo, Andrea Pinamonti
The paper builds a global differential calculus on the L²‑Wasserstein space over a closed Riemannian manifold, defining geometric structures such as a torsion‑free connection and R…
Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications
Thang Pham, Andrea Pinamonti, Dung The Tran +1
Let be an odd prime power. We study Kakeya maximal operators associated with horizontal lines in the finite Heisenberg groups . Our principal object i…
A non-convergence phenomenon for the CR Yamabe flow
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-…
Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
Samuël Borza, Andrea Pinamonti, Omar Zoghlami
We study constant horizontal mean curvature surfaces in the sub-Lorentzian Heisenberg group. We derive the first-variation formula for horizontal area under volume-preserving radia…
Unexpected phenomena for mean curvature functionals in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti, Simone Verzellesi
The Euclidean paradigm that spheres optimize mean curvature variational problems breaks down in the sub-Riemannian Heisenberg group: neither the Pansu sphere nor the Korányi sphere…