nLab Robert Bryant

Robert Leamon Bryant

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Selected writings

On twistor fibrations:

• Robert Bryant, Section 1 of: Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Differential Geom. Volume 17, Number 3 (1982), 455-473 (euclid:jdg/1214437137)

• Robert Bryant, Lie groups and twistor spaces, Duke Mathematical Journal 52 (1985), pp. 223–261, (euclid:dmj/1077304286)

On isometric Riemannian embeddings:

• Eric Berger, Robert Bryant, Phillip Griffiths, The Gauss equations and rigidity of isometric embeddings, Duke Math. J. 50 3 (1983) 803-892 [doi:10.1215/S0012-7094-83-05039-1]

On exterior differential systems:

• Robert L. Bryant, Shiing-Shen Chern, Robert B. Gardner, Hubert L. Goldschmidt, Phillip A. Griffiths: Exterior Differential Systems, Springer (1990) [doi:10.1007/978-1-4613-9714-4]

• Robert L. Bryant: Nine Lectures on Exterior Differential Systems (1999) [pdf]

• Robert L. Bryant: Notes on exterior differential systems [arXiv:1405.3116, alternative:pdf]

On the metric cone over complex projective 3-space and the twistor fibration:

• Bobby Acharya, Robert Bryant, Simon Salamon, A circle quotient of a $G_2$ cone, Differential Geometry and its Applications 73 (2020) 101681 (arXiv:1910.09518, doi:10.1016/j.difgeo.2020.101681)

On the construction of G₂-manifolds:

• Robert Bryant, Simon Salamon, On the construction of some complete metrics with exceptional holonomy, Duke Mathematical Journal 58: 829–850 (1989) (euclid:dmj/1077307681)

On special holonomy and G-structure:

• Robert Bryant, Metrics with Exceptional Holonomy, Annals of Mathematics Second Series, Vol. 126, No. 3 (Nov., 1987), pp. 525-576 (jstor:1971360)

On G₂-manifolds via G-structure:

• Robert Bryant, Some remarks on $G_2$-structures, Proceedings of the 12th Gökova Geometry-Topology Conference 2005, pp. 75-109 (arXiv:math/0305124, webpage, pdf)

On Spin(8)

• Robert Bryant, Remarks on Spinors in Low Dimension (pdf, pdf)

On Isadore M. Singer:

• Robert Bryant, Jeff Cheeger, Phillip Griffiths: Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works, Notices of the AMS (Oct 2022) [pdf]

category: people