Skip to main content
SpringerLink
Log in

On the failure of the Poincaré Lemma for II

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Andreotti, A., Hill, C.D.: E.E.Levi convexity and the Hans Lewy problem I: Reduction to vanishing theorems. Ann. Scuola Norm. Sup. Pisa 26, 747–806 (1972)

    MATH  MathSciNet  Google Scholar 

  2. Andreotti, A., Hill, C.D.: E.E.Levi convexity and the Hans Lewy problem II: Vanishing theorems. Ann. Scuola Norm. Sup. Pisa 26, 747–806 (1972)

    MATH  MathSciNet  Google Scholar 

  3. Andreotti, A., Fredricks, G., Nacinovich, M.: On the absence of Poincaré lemma in Tangential Cauchy-Riemann complexes Ann. Scuola Norm. Sup. Pisa 8, 365–404 (1981)

    MATH  MathSciNet  Google Scholar 

  4. Brinkschulte, J., Hill, C.D., Nacinovich, M.: Obstuctions to generic embeddings. Ann. Inst. Fourier, Grenoble 52, 1785–1792 (2002)

    MATH  MathSciNet  Google Scholar 

  5. Brinkschulte, J., Hill, C.D., Nacinovich, M.: Remarks on weakly pseudoconvex boundaries. Indag. Mathem. 14, 1–10 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hill, C.D.: What is the notion of a complex manifold with a smooth boundary? Prospects in algebraic analysis Kashiwara and Kawai (Eds) Academic Press, New York 1988 pp 185–201

  7. Hill, C.D.: Counterexamples to Newlander-Nirenberg up to the boundary. Proc. Symp. Pure Math 52, 191–197 (1991)

    MATH  Google Scholar 

  8. C.D.Hill, M.Nacinovich: On the failure of the Poincaré lemma for the complex. Math. Ann. 324, 213–224 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. C.D.Hill, M.Nacinovich: Embeddable CR manifolds with nonembeddable smooth boundary Boll. Un. Mat. Ital. A 7(7), 387–395 (1993)

    Google Scholar 

  10. Nacinovich, M.: On the absence of Poincaré lemma for some systems of partial differential equations. Compositio Mathematica 44, 241–303 (1981)

    MATH  MathSciNet  Google Scholar 

  11. Nacinovich, M.: On boundary Hilbert differential complexes Annales Polonici Mathematici XLVI, 213–235 (1985)

  12. Nacinovich, M., Valli, G.: Tangential Cauchy-Riemann complexes on distributions. Ann. Mat. Pura Appl. 146, 123–160 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  13. Tumanov, A.: Foliations by complex curves and the geometry of real surfaces of finite type. Math. Z. 240, 385–388 (2002)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, SUNY at Stony Brook, Stony Brook, N.Y, 11794, USA

    C. Denson Hill

  2. Dipartimento di Matematica, Università di Roma ``Tor Vergata'', via della Ricerca Scientifica, 00133, Roma, ITALY

    Mauro Nacinovich

Authors
  1. C. Denson Hill
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mauro Nacinovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hill, C., Nacinovich, M. On the failure of the Poincaré Lemma for II. Math. Ann. 335, 193–219 (2006). https://doi.org/10.1007/s00208-005-0746-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00208-005-0746-z

Mathematics Subject Classification (1991)

Keywords

Search

Navigation