Math @ Duke

Publications [#243389] of Robert Bryant
search www.ams.org.Papers Published
 Bryant, RL, Holomorphic curves in lorentzian crmanifolds,
Transactions of the American Mathematical Society, vol. 272 no. 1
(January, 1982),
pp. 203221, American Mathematical Society (AMS) [MR83i:32029], [doi]
(last updated on 2019/08/24)
Abstract: A CRmanifold is said to be Lorentzian if its Levi form has one negative eigenvalue and the rest positive. In this case, it is possible that the CRmanifold contains holomorphic curves. In this paper, necessary and sufficient conditions are derived (in terms of the “derivatives” of the CRstructure) in order that holomorphic curves exist. A “flatness” theorem is proven characterizing the real Lorentzian hyperquadric Qs C CP3and examples are given showing that nonflat Lorentzian hyperquadrics can have a richer family of holomorphic curves than the flat ones. © 1982 American Mathematical Society.


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