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  1. Article

    Open Access

    Rigidity results for Riemannian twistor spaces under vanishing curvature conditions

    In this paper, we provide new rigidity results for four-dimensional Riemannian manifolds and their twistor spaces. In particular, using the moving frame method, we prove that

    G. Catino, D. Dameno, P. Mastrolia in Annals of Global Analysis and Geometry (2023)

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  2. No Access

    Article

    Weyl Scalars on Compact Ricci Solitons

    We investigate the triviality of compact Ricci solitons under general scalar conditions involving the Weyl tensor. More precisely, we show that a compact Ricci soliton is Einstein if a generic linear combinati...

    G. Catino, P. Mastrolia in The Journal of Geometric Analysis (2019)

  3. No Access

    Article

    Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds

    In this paper we are concerned with a class of elliptic differential inequalities with a potential both on and on Riemannian manifolds....

    P. Mastrolia, D. D. Monticelli, F. Punzo in Calculus of Variations and Partial Differe… (2015)