Research Interests for Robert L Bryant
Research Interests: Nonlinear Partial Differential Equations and Differential Geometry
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 SeibergWitten 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)
 R.L. Bryant, Notes on Exterior Differential Systems
(Preprint, May, 2014) [arXiv:1405.3116] [abs] [author's comments]
 R.L. Bryant, S.s. Chern's study of almostcomplex structures on the sixsphere
(Preprint, May, 2014) [arXiv:1405.3405] [abs]
 with Michael G. Eastwood, A. Rod. Gover, Katharina Neusser, Some differential complexes within and beyond parabolic geometry
(Accepted, December, 2011) [arXiv:1112.2142v2] [abs] [author's comments]
 Nonembedding and nonextension results in special holonomy,
in The many facets of geometry, edited by JeanPierre Bourguignon, Simon Salamon, and Oscar Garcia Prada
(Fall, 2010),
pp. 346367, Oxford University Press, Oxford [MR2681703]
 with M. Dunajski, M. Eastwood, Metrisability of twodimensional projective structures,
J. Differential Geometry, vol. 83 no. 3
(2009),
pp. 465499, ISSN 0022040X [MR2581355], [arXiv:0801.0300v1 [math.DG]] [abs]
