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math.DG2016★ 22 cited
Quantum confinement on non-complete Riemannian manifolds
Dario Prandi, Luca Rizzi, Marcello Seri
We consider the quantum completeness problem, i.e. the problem of confining quantum particles, on a non-complete Riemannian manifold equipped with a smooth measure , possibl…
math.DG2015★ 7 cited
A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators
Dario Prandi, Luca Rizzi, Marcello Seri
In this paper we prove a sub-Riemannian version of the classical Santaló formula: a result in integral geometry that describes the intrinsic Liouville measure on the unit cotangent…