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)
- Bryant, R; Cheeger, J; Griffiths, P; Blum, L; Burns, D; Connes, A; Donnelly, H; Ebin, D; Guillemin, V; Palais, R; Rossi, H; Simons, J; Singer, E; Singer, N; Stanton, N; Sternberg, S, Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections,
Notices of the American Mathematical Society, vol. 69 no. 10
(November, 2022),
pp. 1-1, American Mathematical Society (AMS) [doi]
- Bryant, R; Bismut, J-M; Cheeger, J; Griffiths, P; Donaldson, S; Hitchin, N; Lawson, HB; Gromov, M; Marcus, A; Spielman, D; Srivastava, N; Witten, E, Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works,
Notices of the American Mathematical Society, vol. 69 no. 09
(October, 2022),
pp. 1-1, American Mathematical Society (AMS) [doi]
- Phong, DH; Siu, Y-T; Bryant, R; Chau, A; Falbel, E; Fefferman, C; Friedman, R; Morgan, J; Futaki, A; Griffiths, P; Kohn, JJ; Mok, N; Mori, S; Namba, M; Noguchi, J; Ohsawa, T; Sato, M; Yau, S-T, Masatake Kuranishi (1924–2021),
Notices of the American Mathematical Society, vol. 69 no. 05
(May, 2022),
pp. 1-1, American Mathematical Society (AMS) [doi]
- Bryant, RL, S.-S. Chern’s study of almost-complex structures on the six-sphere, edited by Bryant, R; Cheng, SY; Griffiths, P; Ma, X; Ni, L; Wallach, N,
International Journal of Mathematics, vol. 32 no. 12
(November, 2021), World Scientific Publishing [arXiv:1405.3405], [doi] [abs]
- Bryant, RL; Foulon, P; Ivanov, SV; Matveev, VS; Ziller, W, Geodesic behavior for Finsler metrics of constant positive flag curvature on S2,
Journal of Differential Geometry, vol. 117 no. 1
(January, 2021),
pp. 1-22 [doi] [abs]
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