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 Seiberg-Witten 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)
  1. Bryant, RL; Huang, L; Mo, X, On Finsler surfaces of constant flag curvature with a Killing field, Journal of Geometry and Physics, vol. 116 (June, 2017), pp. 345-357 [doi]
  2. Bryant, RL, On the convex Pfaff-Darboux Theorem of Ekeland and Nirenberg (Preprint, December 22, 2015) [arXiv:1512.07100[abs]
  3. Bryant, RL, On the conformal volume of 2-tori (Preprint, July 6, 2015) [arXiv:1507.01485[abs]
  4. Bryant, RL, S.-S. Chern's study of almost-complex structures on the six-sphere (Preprint, May, 2014) [arXiv:1405.3405[abs]
  5. Bryant, RL, Notes on exterior differential systems (Preprint, May, 2014) [arXiv:1405.3116[abs] [author's comments]