Skip to main content
Log in

Segre families and real hypersurfaces

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. Bochner, S.: Analytic and meromorphic continuation by means of Green's formula, Ann. of Math.44, 652–673 (1943)

    Google Scholar 

  2. Burns, D., Jr., Diederich, K., Shnider, S.: Distinguished curves in pseudoconvex boundaries, Duke Math. J.44, 407–431 (1977)

    Google Scholar 

  3. Burns, D., Jr., Shnider, S., Wells, R.O., Jr.: Deformations of strictly pseudoconvex domains, in press (1980)

  4. Cartan, É.: Sur la géometrie pseudo-conforme des hypersurfaces de deux variables complexes, I, Ann. Math. Pura Appl11, 17–90 (1932) or Oeuvres II,2, 1231–1304; II, Ann. Scuola Norm. Sup. Pisa,1, 333–354 (1932), or Oeuvres III,2, 1217–1238

    Google Scholar 

  5. Cartan, É.: Leçons sur la théories des espaces à connexion projective, Paris: Gautheir-Villars 1937

    Google Scholar 

  6. Chern, S.S.: On the projective structure of a real hypersurface in ℂ n +1, Math. Scand.36, 74–82 (1975)

    Google Scholar 

  7. Chern, S.S., Griffiths, P., Abel's theorem and webs, Jahr. Deut. Math., in press (1980)

  8. Chern, S.S., Moser, J.K.: Real hypersurfaces in complex manifolds, Acta Math.133, 219–271 (1974)

    Google Scholar 

  9. Chevalley, C.: Theory of Lie groups, Princeton: Princeton University Press 1946

    Google Scholar 

  10. Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math.26, 1–65 (1974)

    Google Scholar 

  11. Fefferman, C.: Monge-Ampère equations, the Bergman kernel and geometry of pseudoconvex domains, Ann. of Math.103, 395–416 (1976)

    Google Scholar 

  12. Hachtroudi, M.: Les espaces d'éléments à connexion projective normale, Paris: Hermann 1937

    Google Scholar 

  13. Kobayashi, S.: Transformation groups in differential geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, v. 70, Berlin, Heidelberg: Springer-Verlag 1972

    Google Scholar 

  14. Moser, J.K.: Holomorphic equivalence and normal forms of hypersurfaces, Proc. Symp. in Pure Math., vol. 27, part 2, 1975

  15. Narasimhan, R.: Several complex variables, Chicago: University of Chicago Press 1971

    Google Scholar 

  16. Segre, B.: I. Intorno al problema di Poincaré della rappresentazione pseudo-conforme, Rend. Acc. Lincei13, 676–683 (1931); II. Questioni geometriche legate colla teoria delle funzioni di due variabili complesse, Rend, Semin. Mat. Roma 7 (1931)

    Google Scholar 

  17. Tanaka, N.: I. On the pseudo-conformal geometry of hypersurfaces of the space ofn complex variables, J. Math. Soc. Japan14, 397–429 (1962); II. Graded Lie algebras and geometric structures, Proc, U.S.-Japan Seminar in Differential Geometry, pp. 147–150, 1965

    Google Scholar 

  18. Tresse, A.: Détermination des invariants ponctuels de l'équation differentielles ordinaire du second ordrey″=ω(x, y, y′), Preisshr. Fürstlich Jablon Ges, Leipzig: Hirzel 1896

    Google Scholar 

  19. Webster, S.M.: Pseudo-hermitian structures on a real hypersurface, J. Diff. Geom. in press (1980)

  20. Webster, S.M.: On the mapping problem for algebraic real hypersurfaces, Inv. Math.43, 53–68 (1977)

    Google Scholar 

  21. Webster, S.M.: On the Moser normal form at a non-umbilic point, preprint

  22. Chih-ta Yen: Sur la convexion projective normale associé à un feuilletage du deuxième ordre, Ann. Math. Pura Appl.34, 55–94 (1953)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Faran, J.J. Segre families and real hypersurfaces. Invent Math 60, 135–172 (1980). https://doi.org/10.1007/BF01405151

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01405151

Keywords

Navigation