2 papers
math.AP2026
Conformal Metrics on the Disk with Prescribed Negative Gaussian Curvature and Boundary Geodesic Curvature
Rafael López-Soriano, Francisco J. Reyes-Sánchez, David Ruiz
We study the problem of prescribing the Gaussian curvature on the disk and the geodesic curvature on its boundary via a conformal change of the metric. In this paper the case of ne…
math.DG2024
Prescribing curvatures in the disk via conformal changes of the metric: the case of negative Gaussian curvature
Rafael López-Soriano, Francisco J. Reyes-Sánchez, David Ruiz
This paper deals with the question of prescribing the Gaussian curvature on a disk and the geodesic curvature of its boundary by means of a conformal deformation of the metric. We…