2 papers
math.DG2025
Curvature homogeneous hypersurfaces in space forms
Robert Bryant, Luis Florit, Wolfgang Ziller
We classify curvature homogeneous hypersurfaces in S^4 and H^4. In higher dimesnsion one only has the FKM examples and an isolate one by Tsukada of a hypersurface in H^5. Besides s…
math.DG2024
Hessianizability of surface metrics
Robert L. Bryant
A symmetric quadratic form on a surface~ is said to be locally Hessianizable if each has an open neighborhood~ on which there exists a local coordinate chart $(x…