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Transactions of the American Mathematical Society

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

 

 

Chains, null-chains, and CR geometry


Author: Lisa K. Koch
Journal: Trans. Amer. Math. Soc. 338 (1993), 245-261
MSC: Primary 32F40; Secondary 53C56
DOI: https://doi.org/10.1090/S0002-9947-1993-1100695-4
MathSciNet review: 1100695
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Abstract: A system of distinguished curves distinct from chains is defined on indefinite nondegenerate $ {\text{CR}}$ hypersurfaces; the new curves are called null-chains. The properties of these curves are explored, and it is shown that two sufficiently nearby points of any nondegenerate $ {\text{CR}}$ hypersurface can be connected by either a chain or a null-chain.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1100695-4
Article copyright: © Copyright 1993 American Mathematical Society