3 papers
math.AP2022
Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary
Sergio Cruz-Blázquez, Angela Pistoia
Let be a compact Riemannian manifold with minimal boundary such that the second fundamental form is nowhere vanishing on . We show that for a generic Riema…
math.AP2021
Conformal metrics with prescribed scalar and mean curvature
S. Cruz-Blázquez, A. Malchiodi, D. Ruiz
We consider the case with boundary of the classical Kazdan-Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via…
math.AP2018
Prescribing Gaussian and geodesic curvature on disks
S. Cruz-Blázquez, D. Ruiz
In this paper we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric. This leads…