Normal CR structures on compact 3-manifolds

Mathematische Zeitschrift

Volumn 238, Issue 3, 2001, Pages 441-460

  Belgun, Florin Alexandru ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035605220     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100260     Document Type: Article

References (25)

1. F. Belgun, Autormophism groups of normal CR 3-manifolds, preprint math. DG/0103142.
2. F. Belgun, On the metric structure of non-Kähler complex surfaces, Math. Ann. 317 (2000), 1-40.
3. D. Burns, Jr., S. Shnider, Spherical Hypersurfaces in Complex Manifolds, Inv. Math. 33 (1976), 223-246.
4. E. Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de l'éspace des deux variables complexes, Ann. Math. Pura Appl. 4 (1932), 17-90 (or Oeuvres II, 2, 1231-1304).
5. E. Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de l'éspace des deux variables complexes, Ann. Math. Pura Appl. 4 (1932), 17-90 (or Oeuvres II, 2, 1231-1304).
6. S.S Chern, J.K. Moser, Real hypersurfaces in complex manifolds, Acta mathematica 133 (1975), 219-271.
7. S. Dragomir, On pseudohermitian immersions between strictly pseudoconvex CR manifolds, Am. J. Math. 117 (1995), 169-202.
8. F. Ehlers, W.D. Neumann, J. Scherk, Links of surface singularities and C R space forms, Comment. Math. Helvetici 62 (1987), 240-264.
9. P. Gauduchon, L. Ornea, Locally conformally Kähler metrics on Hopf surfaces, Ann. Inst. Fourier. 48 (1998), 1107-1127.
10. H. Geiges, Normal contact structures on 3-manifolds, Tôhoku Math. J. 49 (1997), 415-422.
11. Y. Kamishima, T. Tsuboi, C R structures on Seifert manifolds, Inv. Math. 104 (1991), 149-163.
12. S. Kobayashi, Transformation groups in Differential Geometry, Springer-Verlag, 1972.
13. K. Kodaira, On compact complex analytic spaces I, Ann. Math. 71 (1960), 111-152; II, ibid. 77 (1963), 563-626: III, ibid. 78 (1963), 1-40.
14. K. Kodaira, On compact complex analytic spaces I, Ann. Math. 71 (1960), 111-152; II, ibid. 77 (1963), 563-626: III, ibid. 78 (1963), 1-40.
15. K. Kodaira, On compact complex analytic spaces I, Ann. Math. 71 (1960), 111-152; II, ibid. 77 (1963), 563-626: III, ibid. 78 (1963), 1-40.
16. C.R. LeBrun, Twistor CR manifolds and three-dimensional conformal geometry, Trans. A.M.S 284 (1984), 601-616.
17. K. Maehara, On elliptic surfaces whose first Betti numbers are odd, Int. Symp. on Alg. Geom., Kyoto (1977), 565-574.
18. L. Nirenberg, Lectures on linear partial differential equations, CMBS Regional Conf. Ser. in Math., 17 (1973), Am. Math. Soc., Providence, R.I.
19. L. Nirenberg, On a question of Hans Lewy, Russian Math. Surveys 29 (1974), 251-262.
20. R. Penrose, Physical space-time and non-realizable CR-structures, Bulletin of the American Mahematical Society, 8 (1983), 427-448.
21. I.M. Singer, S. Sternberg, The Infinite Lie Groups of Lie and Cartan I, Journal d'Analyse Mathématique, Israel (1965), 1-114.
22. N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan. J. Math. 2 (1976), 131-190.
23. N. Tanaka, A differential geometric study on strongly pseudo-convex manifolds, Lectures in Math., Dept. Math., Kyoto Univ 9, Kinokuniya, Tokyo, 1975.
24. I. Vaisman, Locally conformal Kähler manifolds with parallel Lee form, Rendiconti di Matematica, Roma 12 (1979), 263-284.
25. S.M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Diff. Geometry 13 (1978), 25-41.