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math.DG2025
Uniqueness of critical metrics for a quadratic curvature functional
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli
In this paper we prove a new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functional : we sh…
math.DG2024
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni +1
In this paper we study positive solutions to the CR Yamabe equation in noncompact -dimensional Sasakian manifolds with nonnegative curvature. In particular, we show that th…