Chains, null-chains, and CR geometry

Koch, Lisa K.

doi:10.1090/S0002-9947-1993-1100695-4

Chains, null-chains, and CR geometry
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Trans. Amer. Math. Soc. 338 (1993), 245-261 Request permission

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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