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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Chains on CR manifolds and Lorentz geometry
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by Lisa K. Koch PDF
Trans. Amer. Math. Soc. 307 (1988), 827-841 Request permission

Abstract:

We show that two nearby points of a strictly pseudoconvex CR manifold are joined by a chain. The proof uses techniques of Lorentzian geometry via a correspondence of Fefferman. The arguments also apply to more general systems of chain-like curves on CR manifolds.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 307 (1988), 827-841
  • MSC: Primary 32F25; Secondary 53C50
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0940230-2
  • MathSciNet review: 940230