Publications [#243389] of Robert Bryant

Papers Published

1. Bryant, RL, Holomorphic curves in lorentzian cr-manifolds, Transactions of the American Mathematical Society, vol. 272 no. 1 (January, 1982), pp. 203-221, American Mathematical Society (AMS) [MR83i:32029], [doi]
   (last updated on 2026/01/13)

   Abstract:
   A CR-manifold 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 CR-manifold contains holomorphic curves. In this paper, necessary and sufficient conditions are derived (in terms of the “derivatives” of the CR-structure) 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.