Skip to main content

On Weakly Pseudoconcave CR Manifolds

  • Conference paper
Hyperbolic Problems and Regularity Questions

Part of the book series: Trends in Mathematics ((TM))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. De Carli and M. Nacinovich, Unique continuation in abstract pseudoconcave CR manifolds, Ann. Scuola Norm. Sup. Pisa 27 (1999), 27–46.

    Google Scholar 

  2. C. Fefferman and D.H. Phong, The uncertainty principle and sharp Garding inequalities, Comm. Pure Appl. Math. 34 (1981), 285–331.

    MathSciNet  MATH  Google Scholar 

  3. C.D. Hill and M. Nacinovich, Pseudoconcave CR manifolds, Complex analysis and geometry, V. Ancona, E. Ballico, A. Silva eds., Marcel Dekker, Inc., New York (1996) 275–297.

    Google Scholar 

  4. C.D. Hill and M. Nacinovich, Duality and distribution cohomology for CR manifolds Ann. Scuola Norm. Sup. Pisa 22 (1995), 315–339.

    MathSciNet  MATH  Google Scholar 

  5. C.D. Hill and M. Nacinovich, A weak pseudoconcavity condition for abstract almost CR manifolds, Invent. Math. 142 (2000) 251–283.

    Article  MathSciNet  MATH  Google Scholar 

  6. C.D. Hill and M. Nacinovich, Weak pseudoconcavity and the maximum modulus principle Annali di Matemática 182 (2003) 103–112.

    Article  MathSciNet  MATH  Google Scholar 

  7. C.D. Hill and M. Nacinovich, Fields of CR meromorphic functions, Rend. Sem. Mat. Univ. Padova 111 (2004), 179–204

    MathSciNet  MATH  Google Scholar 

  8. L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171.

    Article  MathSciNet  MATH  Google Scholar 

  9. C. Laurent-Thiébaut and J. Leiterer, Malgrange’s vanishing theorem in 1-concave CR manifolds, Nagoya Math. J. 157 (2000), 59–72.

    MathSciNet  MATH  Google Scholar 

  10. C. Medori and M. Nacinovich, Levi-Tanaka algebras and homogeneous CR manifolds, Compositio Mathematica 109 (1997), 195–250.

    Article  MathSciNet  MATH  Google Scholar 

  11. C. Medori and M. Nacinovich, Classification of semisimple Levi-Tanaka algebras, Ann. Mat. Pura e Appl. 174 (1998), 285–349.

    Article  MathSciNet  MATH  Google Scholar 

  12. C. Medori and M. Nacinovich, Complete nondegenerate locally standard CR manifolds Math. Ann. 317 (2000), 509–526.

    Article  MathSciNet  MATH  Google Scholar 

  13. C. Medori and M. Nacinovich, Algebras of infinitesimal CR automorphisms Journal of Algebra, 287 (2005), 234–274.

    Article  MathSciNet  MATH  Google Scholar 

  14. L.P. Rothschild, A criterion for hypoellipticity of operators constructed from vector fields Comm. Partial Differential Equations 4 (1979), 645–699

    MathSciNet  MATH  Google Scholar 

  15. N. Tanaka, On generalized graded Lie algebras and geometric structures. I.J. Math. Soc. Japan 19 (1967), 215–254.

    Article  MathSciNet  MATH  Google Scholar 

  16. N Tanaka, On differential systems, graded Lie algebras and pseudogroups. J. Math. Kyoto Univ. 10 (1970) 1–82.

    MathSciNet  MATH  Google Scholar 

  17. J.-M. Trépreau, Sur la propagation des singularités dans les varietees CR, Bull. Soc. Math. France 118 (1990), 403–450.

    MathSciNet  MATH  Google Scholar 

  18. A.E. Tumanov, Extension of CR functions into a wedge from a manifold of finite type, Mat. USSR-Sb. 64 (1989) 129–140.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Birkhäuser Verlag Basel/Switzerland

About this paper

Cite this paper

Nacinovich, M. (2006). On Weakly Pseudoconcave CR Manifolds. In: Padula, M., Zanghirati, L. (eds) Hyperbolic Problems and Regularity Questions. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7451-8_14

Download citation

Publish with us

Policies and ethics