Invariant Kohn-Rossi cohomology and obstruction to embedding of compact real (2n-1)-dimensional CR manifolds in CN

Hing Sun LUK; Stephen S. -T. YAU

doi:10.2969/jmsj/04810061

Invariant Kohn-Rossi cohomology and obstruction to embedding of compact real (2n-1)-dimensional CR manifolds in C^N

Hing Sun LUK, Stephen S. -T. YAU

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 1 Pages 61-68

DOI https://doi.org/10.2969/jmsj/04810061

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Published: 1996 Received: March 10, 1994 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Hing Sun LUK¹⁾, Stephen S.-T. YAU²⁾
Right : Hing Sun LUK¹⁾, Stephen S. -T. YAU²⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : Bo) L. Boutet De Monvel, Integration des equation de Cauchy-Riemann, Seminaire Goulaouic-Lions-Schwartz, Ex ré IX, 1974-1975.
Gu-Ro) R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, New Jersey, 1965.
Ha-La) R. Harvey and B. Lawson, On boundaries of analytic varieties, I, Ann, of Math., 102 (1975), 223-290.
Ha) H. Hamm, On the vanishing of local homotopy groups for isolated singularities of complex spaces, J. Reine Angew. Math., 323 (1981), 172-176.
Ko₁) J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds, I, Ann. of Math., 78 (1963), 112-148; II, J. Reine Angew. Math., 79 (1964), 450-472.
Ko₂) J. Kohn, Boundaries of complex manifolds, Proc. Conference on Complex Manifolds, Minneapolis, Springer-Verlag, New York, 1965.
Ko₃) J. Kohn, The range of the tangential Cauchy-Riemann operator, Duke Math. J., 53 (1986), 525-545.
Ko-Ro) J. Kohn and H. Rossi, On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math., 81 (1965), 451-472.
La-Ya) B. Lawson and S. Yau, Holomorphic symmetries, Ann. Sci. École Norm. Sup. 4e Série, t.20 (1987), 557-577.
Lu-Ya) H. Luk and S. Yau, Obstructions to embedding of real (2n-1)-dimensional compact CR manifolds in Cⁿ⁺¹, Proc. Sympos. Pure Math., 52, 1991, Part 3, pp. 261-276.
Ta) N. Tanaka, A Differential Geometric Study on Strongly Pseudoconvex Manifolds, Lectures in Math., Dept. of Math., Kyoto University, 9, Kinokuniya Book-Store Co., Ltd..
Ya) S. Yau, Kohn-Rossi cohomology and its application to the complex Plateau problem, I, Ann, of Math., 113 (1981), 67-110.

Right : [Bo] L. Boutet De Monvel, Integration des equation de Cauchy-Riemann, Seminaire Goulaouic-Lions-Schwartz, Ex ré IX, 1974-1975.
[Gu-Ro] R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, New Jersey, 1965.
[Ha-La] R. Harvey and B. Lawson, On boundaries of analytic varieties, I, Ann. of Math., 102 (1975), 223-290.
[Ha] H. Hamm, On the vanishing of local homotopy groups for isolated singularities of complex spaces, J. Reine Angew. Math., 323 (1981), 172-176.
[Ko₁] J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds, I, Ann. of Math., 78 (1963), 112-148; II, J. Reine Angew. Math., 79 (1964), 450-472.
[Ko₂] J. Kohn, Boundaries of complex manifolds, Proc. Conference on Complex Manifolds, Minneapolis, Springer-Verlag, New York, 1965.
[Ko₃] J. Kohn, The range of the tangential Cauchy-Riemann operator, Duke Math. J., 53 (1986), 525-545.
[Ko-Ro] J. Kohn and H. Rossi, On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math., 81 (1965), 451-472.
[La-Ya] B. Lawson and S. Yau, Holomorphic symmetries, Ann. Sci. École Norm. Sup. 4^e Série, t.20 (1987), 557-577.
[Lu-Ya] H. Luk and S. Yau, Obstructions to embedding of real (2n-1)-dimensional compact CR manifolds in Cⁿ⁺¹, Proc. Sympos. Pure Math., 52, 1991, Part 3, pp. 261-276.
[Ta] N. Tanaka, A Differential Geometric Study on Strongly Pseudoconvex Manifolds, Lectures in Math., Dept. of Math., Kyoto University, 9, Kinokuniya Book-Store Co., Ltd..
[Ya] S. Yau, Kohn-Rossi cohomology and its application to the complex Plateau problem, I, Ann. of Math., 113 (1981), 67-110.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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