19 citations · 85 across the 35 of their papers we have counts for
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math.DG2016
The smooth Riemannian extension problem
Stefano Pigola, Giona Veronelli
Given a metrically complete Riemannian manifold with smooth nonempty boundary and assuming that one of its curvatures is subject to a certain bound, we address the problem…
math.DG2016★ 9 cited
Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures
Michele Rimoldi, Giona Veronelli
In this paper we establish the existence of extremals for the Log Sobolev functional on complete non-compact manifolds with Ricci curvature bounded from below and strictly positive…
math.DG2016★ 3 cited
The smooth Riemannian extension problem: completeness
Stefano Pigola, Giona Veronelli
By means of a general gluing and conformal-deformation construction, we prove that any smooth, metrically complete Riemannian manifold with smooth boundary can be realized as a clo…