Research Interests for Robert 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:
 Almost complex manifolds, calibrations, CR hypersurfaces, exterior differential systems, Finsler, Geometry, Differential, Global differential geometry, solitons
 Areas of Interest:
exterior differential systems differential geometry algebraic geometry Finsler geometry
 Recent Publications
(search)
 R. Bryant, On the convex PfaffDarboux Theorem of Ekeland and Nirenberg
(Preprint, December 22, 2015) [arXiv:1512.07100] [abs]
 R. Bryant, On the conformal volume of 2tori
(Preprint, July 6, 2015) [arXiv:1507.01485] [abs]
 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 Bryant, RL; Chern, SS; Gardner, RB; Goldschmidt, HL; Griffiths, PA, Exterior Differential Systems
(December, 2011),
pp. 475 pages, Springer, ISBN 1461397162 [MR92h:58007] [abs] [author's comments]
