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math.DG2021
Eigenvalue bounds for the Paneitz operator and its associated third-order boundary operator on locally conformally flat manifolds
Maria del Mar Gonzalez, Mariel Saez
In this paper we study bounds for the first eigenvalue of the Paneitz operator and its associated third-order boundary operator on four-manifolds. We restrict to orientab…
math.DG2018
Boundary connected sum of Escobar manifolds
Weiwei Ao, Maria del Mar Gonzalez, Yannick Sire
Let and be two compact Riemannian manifolds with boundary and respectively. The Escobar problem consists in prescribing…