Geodesic
Can a~Good Manifold Come to a~Bad End?
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 71-93

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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. 
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     author = {C. L. Epstein and G. M. Henkin},
     title = {Can {a~Good} {Manifold} {Come} to {a~Bad} {End?}},
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C. L. Epstein; G. M. Henkin. Can a~Good Manifold Come to a~Bad End?. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 71-93. http://geodesic.mathdoc.fr/item/TM_2001_235_a4/