14 citations · 20 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
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…
The generality of closed solitons
Robert L. Bryant
The local generality of the space of solitons for the Laplacian flow of closed -structures is analyzed, and it is shown that the germs of such structures depend, up to diffeom…
Geodesic behavior for Finsler metrics of constant positive flag curvature on
R. L. Bryant, P. Foulon, S. Ivanov +2
We study non-reversible Finsler metrics with constant flag curvature 1 on S^2 and show that the geodesic flow of every such metric is conjugate to that of one of Katok's examples,…
On Finsler surfaces of constant flag curvature with a Killing field
R. L. Bryant, L. Huang, X. Mo
We study two-dimensional Finsler metrics of constant flag curvature and show that such Finsler metrics that admit a Killing field can be written in a normal form that depends on tw…