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Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem
Authors:
David Jerison and John M. Lee
Journal:
J. Amer. Math. Soc. 1 (1988), 1-13
MSC:
Primary 53C15; Secondary 32F25, 53C40, 58G30
MathSciNet review:
924699
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
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functions, Indiana Univ. Math. J. 29 (1980),
no. 3, 333–340. MR 570684
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B. Folland and E.
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(1974), 429–522. MR 0367477
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David
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Contemp. Math., vol. 27, Amer. Math. Soc., Providence, RI, 1984,
pp. 57–63. MR 741039
(85i:58122), http://dx.doi.org/10.1090/conm/027/741039
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David
Jerison and John
M. Lee, The Yamabe problem on CR manifolds, J. Differential
Geom. 25 (1987), no. 2, 167–197. MR 880182
(88i:58162)
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Schoen, Conformal deformation of a Riemannian metric to constant
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Tanaka, A differential geometric study on strongly pseudo-convex
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(80e:32015)
-
- [B]
- E. Bedford,
and the real parts of CR functions, Indiana Univ. Math. J. 29 (1980), 333-340. MR 570684 (82a:32024) - [BF]
- E. Bedford and P. Federbush, Pluriharmonic boundary values, Tôhoku Math. J. 26 (1974), 505-511. MR 0361160 (50:13606)
- [FS]
- G. B. Folland and E. M. Stein, Estimates for the
-complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. MR 0367477 (51:3719) - [JL1]
- D. Jerison and J. Lee, A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds, Contemp. Math., Vol. 27, Amer. Math. Soc., Providence, R.I., 1984, pp. 57-63. MR 741039 (85i:58122)
- [JL2]
- -, The Yamabe problem on CR manifolds, J. Differential Geom. 25 (1987), 167-197. MR 880182 (88i:58162)
- [JL3]
- -, Intrinsic CR normal coordinates and the CR Yamabe problem, preprint, MSRI 321-388, 1987.
- [L1]
- J. Lee, The Fefferman metric and pseudohermitian invariants, Trans. Amer. Math. Soc. 296 (1986), 411-429. MR 837820 (87j:32063)
- [L2]
- -, Pseudo-Einstein structures on CR manifolds, Amer. J. Math., preprint, MSRI 321-388, 1987. MR 926742 (89f:32034)
- [LP]
- J. Lee and T. Parker, The Yamabe problem, Bull. Amer. Math. Soc. 17 (1987), 37-91. MR 888880 (88f:53001)
- [O]
- M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom. 6 (1971), 247-258. MR 0303464 (46:2601)
- [S]
- R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), 479-495. MR 788292 (86i:58137)
- [T]
- N. Tanaka, A differential geometric study on strongly pseudo-convex manifolds, Kinokuniya Company Ltd., Tokyo, 1975. MR 0399517 (53:3361)
- [W1]
- S. Webster, Real hypersurfaces in complex space, Thesis, University of California, Berkeley, 1975.
- [W2]
- -, Pseudohermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), 25-41. MR 520599 (80e:32015)
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Additional Information
David Jerison
Affiliation:
John M. Lee
Affiliation:
DOI:
http://dx.doi.org/10.1090/S0894-0347-1988-0924699-9
PII:
S 0894-0347(1988)0924699-9
Article copyright:
© Copyright 1988 American Mathematical Society
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