The Burns-Epstein invariant and deformation of CR structures
Jih-Hsin Cheng and John M. Lee
Source: Duke Math. J. Volume 60, Number 1 (1990), 221-254.
First Page PDF: View first page of article (PDF, 112 KB)Primary Subjects: 32F40
Secondary Subjects: 32G07, 58E11
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Alternatively, the document is available for a cost of $25. Select the "buy article" button below to purchase this document from a secured VeriSign, Inc. site.
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077297146
Mathematical Reviews number (MathSciNet):
MR1047122
Zentralblatt MATH identifier:
0704.53028
Digital Object Identifier: doi:10.1215/S0012-7094-90-06008-9
References
[A] T. Aubin, Best constants in the Sobolev imbedding theorem: the Yamabe problem, Sem. on Differential Geometry ed. S.-T. Yau, Ann. Math. Studies, vol. 102, Princeton University Press, Princeton, 1982, pp. 173–184.
Mathematical Reviews (MathSciNet):
MR84d:58078
Zentralblatt MATH:
0483.53041
[BE1] D. Burns and C. Epstein, A global invariant for three dimensional CR-manifolds, Invent. Math. 92 (1988), no. 2, 333–348.
Mathematical Reviews (MathSciNet):
MR89b:53060
Zentralblatt MATH:
0643.32006
Digital Object Identifier: doi:10.1007/BF01404456
[BE2] D. Burns and C. Epstein, Characteristic numbers of bounded domains, preprint.
[BS] D. Burns and S. Shnider, Spherical hypersurfaces in complex manifolds, Invent. Math. 33 (1976), no. 3, 223–246.
Mathematical Reviews (MathSciNet):
MR54:7875
Zentralblatt MATH:
0357.32012
Digital Object Identifier: doi:10.1007/BF01404204
[C]1 E. Cartan, Sur la géometrie pseudo-conforme des hypersurfaces de l' espace de deux variables complexe, I, Ann. Mat. 11 (1932), 17–90.
Zentralblatt MATH:
0005.37304
[C]2 E. Cartan, Sur la géometrie pseudo-conforme des hypersurfaces de l' espace de deux variables complexe, II, Ann. Sc. Norm. Sup. Pisa 1 (1932), 333–354.
Zentralblatt MATH:
0005.37401
[Ch] J.-H. Cheng, On the curvature of CR-structures and its covariant derivatives, Math. Z. 196 (1987), no. 2, 203–209.
Mathematical Reviews (MathSciNet):
MR89b:32023
Zentralblatt MATH:
0613.32012
Digital Object Identifier: doi:10.1007/BF01163655
[CM]1 S.-S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219–271, Erratum, Acta Math. 150 (1983) 297.
Mathematical Reviews (MathSciNet):
MR54:13112
Zentralblatt MATH:
0302.32015
Digital Object Identifier: doi:10.1007/BF02392146
[CM]2 S. S. Chern and J. K. Moser, Erratum: “Real hypersurfaces in complex manifolds”, Acta Math. 150 (1983), no. 3-4, 297.
Mathematical Reviews (MathSciNet):
MR85a:32014
Digital Object Identifier: doi:10.1007/BF02392974
[D1] D. DeTurck, Deforming metrics in the direction of their Ricci tensors, J. Differential Geom. 18 (1983), no. 1, 157–162.
Mathematical Reviews (MathSciNet):
MR85j:53050
Zentralblatt MATH:
0517.53044
[D2] D. DeTurck, Deforming metrics in the direction of their Ricci tensors: IMPROVED, preprint.
Mathematical Reviews (MathSciNet):
MR697987
[FS] G. B. Folland and E. M. Stein, Estimates for the $\bar \partial \sb{b}$ complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429–522.
Mathematical Reviews (MathSciNet):
MR51:3719
Zentralblatt MATH:
0293.35012
[G] J. W. Gray, Some global properties of contact structures, Ann. of Math. (2) 69 (1959), 421–450.
Mathematical Reviews (MathSciNet):
MR22:3016
Zentralblatt MATH:
0092.39301
Digital Object Identifier: doi:10.2307/1970192
JSTOR: links.jstor.org
[H] R. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), no. 2, 255–306.
Mathematical Reviews (MathSciNet):
MR84a:53050
Zentralblatt MATH:
0504.53034
[JL] D. Jerison and J. M. Lee, The Yamabe problem on CR manifolds, J. Differential Geom. 25 (1987), no. 2, 167–197.
Mathematical Reviews (MathSciNet):
MR88i:58162
Zentralblatt MATH:
0661.32026
[K] S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet):
MR50:8360
Zentralblatt MATH:
0246.53031
[L] J. M. Lee, Pseudo-Einstein structures on CR manifolds, Amer. J. Math. 110 (1988), no. 1, 157–178.
Mathematical Reviews (MathSciNet):
MR89f:32034
Zentralblatt MATH:
0638.32019
[Li] J. L. Lions, Équations différentielles opérationnelles et problèmes aux limites, Die Grundlehren der mathematischen Wissenschaften, Bd. 111, Springer-Verlag, Berlin, 1961.
Mathematical Reviews (MathSciNet):
MR27:3935
Zentralblatt MATH:
0098.31101
[Lu1] R. Lutz, Sur l'existence de certaines formes différentielles remarquables sur la sphère $S\sp{3}$, C. R. Acad. Sci. Paris Sér. A-B 270 (1970), A1597–A1599.
Mathematical Reviews (MathSciNet):
MR42:6741
Zentralblatt MATH:
0194.53201
[Lu2] R. Lutz, Structures de contact sur les fibrés principaux en cercles de dimension trois, Ann. Inst. Fourier (Grenoble) 27 (1977), no. 3, ix, 1–15.
Mathematical Reviews (MathSciNet):
MR57:17668
Zentralblatt MATH:
0328.53024
[M] J. Martinet, Formes de contact sur les variétés de dimension $3$, Proceedings of Liverpool Singularities Symposium, II (1969/1970), Springer, Berlin, 1971, 142–163. Lecture Notes in Math., Vol. 209.
Mathematical Reviews (MathSciNet):
MR50:3263
Zentralblatt MATH:
0215.23003
[Ta] N. Tanaka, A Differential Geometric Study on Strongly Pseudo-Convex Manifolds, Kinokuniya Co. Ltd., Tokyo, 1975.
Mathematical Reviews (MathSciNet):
MR53:3361
Zentralblatt MATH:
0331.53025
[T1] F. Treves, Basic Linear Partial Differential Equations, Academic Press, New York, 1975.
Mathematical Reviews (MathSciNet):
MR56:6063
Zentralblatt MATH:
0305.35001
[T2] F. Treves, Introduction to Pseudodifferential and Fourier Integral Operators, Vol. 1: Pseudodifferential Operators, Plenum Press, New York, 1980.
Mathematical Reviews (MathSciNet):
MR82i:35173
Zentralblatt MATH:
0453.47027
[W] S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), no. 1, 25–41.
Mathematical Reviews (MathSciNet):
MR80e:32015
Zentralblatt MATH:
0379.53016
Duke Mathematical Journal