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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 71–93 (Mi tm235)  

This article is cited in 2 scientific papers (total in 2 papers)

Can a Good Manifold Come to a Bad End?

C. L. Epsteina, G. M. Henkinb

a Pennsylvania State University
b Université Pierre & Marie Curie, Paris VI
Full-text PDF (317 kB) Citations (2)
References:
Abstract: Two notions of cobordism are defined for compact CR-manifolds. The weaker notion, complex cobordism realizes two CR-manifolds as the boundary of a complex manifold; in the stronger notion, strict complex cobordism there is a strictly plurisubharmonic function defined on the total space of the cobordism with the boundary components as level sets of this function. We show that the embeddability for a 3-dimensional, strictly pseudoconvex CR-manifold is a strict cobordism invariant. De Oliveira has recently shown that this is false for complex cobordisms. His construction is described in the appendix.
Received in October 2000
Bibliographic databases:
UDC: 514.763.47
Language: English
Citation: C. L. Epstein, G. M. Henkin, “Can a Good Manifold Come to a Bad End?”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 71–93; Proc. Steklov Inst. Math., 235 (2001), 64–86
Citation in format AMSBIB
\Bibitem{EpsHen01}
\by C.~L.~Epstein, G.~M.~Henkin
\paper Can a~Good Manifold Come to a~Bad End?
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 71--93
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886574}
\zmath{https://zbmath.org/?q=an:1013.32020}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 64--86
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