Prescribing curvatures in the disk via conformal change of the metricFrancisco Javier Reyes Sanchez 17-04-2024 - 16:30 Largo Lungo Tevere Dante n 376 - Aula M2
In this talk, we present a general existence result to the problem of prescribing curvatures on a disk under conformal changes of the metric. We treat the case of negative Gaussian curvature, as a first step in this direction we restrict ourselves to a symmetric setting. We also give a non-existence result which shows that the assumptions required for existence are necessary. |