Chains, Null-Chains, and CR Geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 338, page 245 (issn: 0002-9947,

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Authors: Koch, Lisa K.;

doi: 10.2307/2154455 , 10.1090/s0002-9947-1993-1100695-4

Chains, Null-Chains, and CR Geometry

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Abstract

A system of distinguished curves distinct from chains is defined on indefinite nondegenerate CR {\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 CR {\text {CR}} hypersurface can be connected by either a chain or a null-chain.

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University of Pittsburgh
United States

Keywords

non-degenerate CR hypersurfaces, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, chains, Real submanifolds in complex manifolds, null-chains

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