A collar neighborhood theorem for a complex manifold

C. Denson Hill; Mauro Nacinovich

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 91, page 23-30
  • ISSN: 0041-8994

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Hill, C. Denson, and Nacinovich, Mauro. "A collar neighborhood theorem for a complex manifold." Rendiconti del Seminario Matematico della Università di Padova 91 (1994): 23-30. <http://eudml.org/doc/108321>.

@article{Hill1994,
author = {Hill, C. Denson, Nacinovich, Mauro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {paracompact manifold; almost complex structure; pseudoconvex boundary; complex structure},
language = {eng},
pages = {23-30},
publisher = {Seminario Matematico of the University of Padua},
title = {A collar neighborhood theorem for a complex manifold},
url = {http://eudml.org/doc/108321},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Hill, C. Denson
AU - Nacinovich, Mauro
TI - A collar neighborhood theorem for a complex manifold
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 91
SP - 23
EP - 30
LA - eng
KW - paracompact manifold; almost complex structure; pseudoconvex boundary; complex structure
UR - http://eudml.org/doc/108321
ER -

References

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  1. [1] A. Andreotti - H. GRAUERT, Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), pp. 193-259. Zbl0106.05501MR150342
  2. [2] E. Bishop, Mappings of partially analytic spaces, Ann. Math., 83 (1961), pp. 209-242. Zbl0118.07701MR123732
  3. [3] D. Catlin, A Newlander-Nirenberg theorem for manifolds with boundary, Mich. Math. J., 35 (1988), pp. 233-240. Zbl0679.53029MR959270
  4. [4] R. Dwilewicz, Embeddability of smooth Cauchy-Riemann manifolds, Ann. di Mat., 139 (1985), pp. 15-43. Zbl0563.32010MR798167
  5. [5] N. Hanges - H. JACOBOWITZ, A remark on almost complex structures with boundary, Amer. J. Math., 111 (1989), pp. 53-64. Zbl0847.32016MR980299
  6. [6] D. Heunemann, Extension of the complex structure from Stein manifolds with strictly pseudoconvex boundary, Preprint, Akad. Wiss. DDRBerlin (1984). Zbl0552.32011MR855943
  7. [7] C.D. Hill, What is the notion of a complex manifold with a smooth boundary?, in Prospect in Algebraic Analysis, Vol. 1 (KASHIWARA and KAWAI, eds.) Academic Press, New York (1988), pp. 185-201. Zbl0682.32007MR992454
  8. [8] C.D. Hill, A family of exotic structures on S2 x S2, in Analyse Complexe Multivariable: Recents Developpements (A. MÉRIL, ed.), Guadalupe (1988), Edit E1, Commenda di Rende (1991), pp. 105-110. Zbl0910.32017MR1228874
  9. [9] C.D. Hill, Counterexamples to Newlander-Nirenberg up to the boundary, Proc. Symp. Pure Math., 52 (3) (1991), pp. 191-197. Zbl0751.53012MR1128593
  10. [10] C.D. Hill - M. Nacinovich, Embeddable CR manifolds with nonembeddable smooth boundaries, to appear in B.U.M.I. Zbl0809.53063
  11. [11] R. Narasimhan, Imbedding of holomorphically complete complex spaces, Amer. J. Math., 82 (1960), pp. 917-934. Zbl0104.05402MR148942
  12. [12] A. Newlander - L. NIRENBERG, Complex coordinates in almost complex manifolds, Ann. Math., 65 (1957), pp. 391-404. Zbl0079.16102MR88770

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