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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 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. R.L. Bryant, Notes on Exterior Differential Systems (Preprint, May, 2014) [arXiv:1405.3116[abs] [author's comments]
  2. R.L. Bryant, S.-s. Chern's study of almost-complex structures on the six-sphere (Preprint, May, 2014) [arXiv:1405.3405[abs]
  3. 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]
  4. Non-embedding and non-extension results in special holonomy, in The many facets of geometry, edited by Jean-Pierre Bourguignon, Simon Salamon, and Oscar Garcia Prada (Fall, 2010), pp. 346--367, Oxford University Press, Oxford [MR2681703]
  5. with M. Dunajski, M. Eastwood, Metrisability of two-dimensional projective structures, J. Differential Geometry, vol. 83 no. 3 (2009), pp. 465--499, ISSN 0022-040X [MR2581355], [arXiv:0801.0300v1 [math.DG][abs]

 

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