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The asymptotic expansion of a CR invariant and Grauert tubes

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References

  1. Aubin, T.: Nonlinear analysis on manifolds, Monge-Ampère equations. Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  2. Burns, D.: Curvatures of Monge-Ampère foliations and parabolic manifolds. Ann. Math.115, 349–373 (1982)

    Google Scholar 

  3. Bröcker, T. Dieck, T.: Representations of Compact Lie Groups. Berlin Heidelberg New York: Spring 1985

    Google Scholar 

  4. Burns, D., Epstein, C.: A global invariant for three dimensional CR manifolds. Invent. Math.92, 333–348 (1988)

    Google Scholar 

  5. Burns, D., Epstein, C.: Characteristic numbers of bounded domains. Acta Math.164, 29–71 (1990)

    Google Scholar 

  6. Burns, D., Shnider, S.: Spherical hypersurfaces in complex manifolds. Invent. Math.33, 223–246 (1976)

    Google Scholar 

  7. Cheng, J.H., Lee, J.M.: The Burns-Epstein invariant and deformation of CR structures. Duke Math. J.60, 221–254 (1990)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  10. Grauert, H.: On Levi's problem and the imbedding of real analytic manifolds. Ann. Math.68, 460–472 (1958)

    Google Scholar 

  11. Guillemin, V., Stenzel, M.: Grauert tubes and the homogeneous Monge-Ampère equation. J. Differ Geom.34, 561–570 (1993)

    Google Scholar 

  12. Jacobowitz, H.: An introduction to CR structures. Providence: Am. Math. Soc. 1990

    Google Scholar 

  13. Jerison, D., Lee, J.: The Yamabe problem on CR manifolds. J. Differ. Geom.25, 167–197 (1987)

    Google Scholar 

  14. Lempert, L.: Elliptic and hyperbolic tubes. In: Proceedings of the Special Year in Complex Analysis at the Mittag-Leffler Institute. Princeton: Princeton University Press 1993

    Google Scholar 

  15. Lempert, L., Szöke, R.: Global solutions of the homogeneous complex Monge-Ampère equations and complex structures on the tangent bundle of Riemannian manifolds. Math. Ann.290, 689–712 (1991)

    Google Scholar 

  16. Patrizio, G., Wong, P.M.: Stein manifolds with compact symmetric centers. Math. Ann.289, 355–382 (1991)

    Google Scholar 

  17. Szöke, R.: Complex structures on tangent bundles of Riemannian manifolds.291, 409–428 (1991)

  18. Webster, S.M.: Pseudohermitian structures on a real hypersurface. J. Differ. Geom.13, 25–41 (1978)

    Google Scholar 

  19. Weyl, H.: On the volume of tubes, Am. J. Math.61, 461–472 (1939)

    Google Scholar 

  20. Wong, P.M.: Geometry of the homogeneous Monge-Ampère equation. Invent. Math.67, 261–274 (1982)

    Google Scholar 

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Address after July 16, 1994: Institute of Mathematics, Academia Sinica, Taipei 11529, Taiwan, ROC.

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Kan, SJ. The asymptotic expansion of a CR invariant and Grauert tubes. Math. Ann. 304, 63–92 (1996). https://doi.org/10.1007/BF01446285

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