Research Interests for Robert L Bryant

I'm interested in the geometry of partial differential equations (as always), but, more specifically, I have been thinking about conservation laws for PDE, Finsler geometry, calibrations, holonomy, and trying to learn more about Seiberg-Witten invariants and symplectic geometry.

Keywords:

calibrations, solitons, CR hypersurfaces, exterior differential systems, Finsler

Areas of Interest:

exterior differential systems
differential geometry
algebraic geometry
Finsler geometry

Recent Publications   (search)

1. with G. Manno, V. Matveev, A solution of a problem of Sophus Lie: Normal forms of 2-dimensional metrics admitting two projective vector fields, Mathematische Annalen, vol. 340 no. 2 (Spring, 2008), pp. 437--463 [3592] [abs]
2. with M. Dunajski, M. Eastwood, Metrisability of two-dimensional projective structures (Preprint, 2008) [arXiv:0801.0300v1 [math.DG]] [abs]
3. Nonembedding and nonextension results in special holonomy, in Proceedings of the August 2006 Madrid conference in honor of Nigel Hitchin's 60th Birthday, edited by Jean-Pierre Bourguignon, Simon Salamon, and Oscar Garcia Prada (Submitted, Fall, 2007), Oxford University Press
4. Geodesically reversible Finsler 2-spheres of constant curvature, in Inspired by S. S. Chern---A Memorial Volume in Honor of a Great Mathematician, Nankai Tracts in Mathematics, edited by P. A. Griffiths, vol. 11 (Winter, 2006), World Scientific [math.DG/0407514] [abs]
5. On the geometry of almost complex 6-manifolds, The Asian Journal of Mathematics, vol. 10 no. 3 (September, 2006), pp. 561--606 [math.DG/0508428] [abs]