Homogeneous C R -hypersurface-structures on spheres

R. Lehmann; D. Feldmueller

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 4, page 513-525
  • ISSN: 0391-173X

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Lehmann, R., and Feldmueller, D.. "Homogeneous $CR$-hypersurface-structures on spheres." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.4 (1987): 513-525. <http://eudml.org/doc/84016>.

@article{Lehmann1987,
author = {Lehmann, R., Feldmueller, D.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {homogeneous CR-structure; CR-manifolds},
language = {eng},
number = {4},
pages = {513-525},
publisher = {Scuola normale superiore},
title = {Homogeneous $CR$-hypersurface-structures on spheres},
url = {http://eudml.org/doc/84016},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Lehmann, R.
AU - Feldmueller, D.
TI - Homogeneous $CR$-hypersurface-structures on spheres
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 4
SP - 513
EP - 525
LA - eng
KW - homogeneous CR-structure; CR-manifolds
UR - http://eudml.org/doc/84016
ER -

References

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  1. [1] A. Andreotti - G.A. Fredricks, Embeddability of real analytic Cauchy-Riemann Manifolds, Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (4) 6 (1979), pp. 285-304. Zbl0449.32008MR541450
  2. [2] A. Andreotti - C.D. Hill, Complex characteristic coordinates and tangential Cauchy-Riemann equations, Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (3) 26 (1972), pp. 325-363. 
  3. [3] H. Azad - A.T. Huckleberry - W. Richthofer, Homogeneous CR-manifolds, Journ. Reine Angew. Math.358 (1985), pp. 125-154. Zbl0553.32016MR797679
  4. [4] A. Borel, Linear algebraic Groups, Benjamin, Inc.New York1969. Zbl0186.33201MR251042
  5. [5] M. Buchner - K. Fritzsche - R. Sakai, Geometry and Cohomology of Certain Domains in the Complex Projective Spaces, Journ. Reine Angew. Math.323 (1981), pp. 1-52. Zbl0447.32003MR611441
  6. [6] E. Cartan, Sur la géométrie pseudoconforme des hypersurfaces de l'espace de deux variables complexes, I, II, Ann. di Math.11 (1933), pp. 17-90, Ann. Scuola Norm. Sup. Pisa, Cl. Sci.1 (1932), pp. 333-354. Zbl58.1256.03MR1553196
  7. [7] B. Eckmann - H. Samuelson - G.W. Whitehead, On Fibering Spheres by Toruses, Bull. Amer. Math. Soc.55 (1949), pp. 433-438. Zbl0033.02601MR30199
  8. [8] M. Goto, Algebraic Homogeneous Spaces, Am. J. of Math.76 (1954), pp. 811-818. Zbl0056.39803MR66396
  9. [9] P. Griffith - J. Harris, Principles of Algebraic Geometry, John Wiley & Sons, New York1978. Zbl0408.14001MR507725
  10. [10] F. Hirzebruch - K. Kodaira, On the complex projective spaces, Journ. de Math.26 (1957), pp. 201-216. Zbl0090.38601MR92195
  11. [11] A.T. Huckleberry - W. Richthofer, Recent Developments in Homogeneous CR-Hypersurfaces, Contributions to Several Complex Variables, ViewegBraunshweig1986. Zbl0596.32038MR859196
  12. [12] K. Jänich, Differenzierbare G-Mannigfaltigkeiten, Lecture Notes in Math. 59, Berlin1968. Zbl0159.53701MR229261
  13. [13] Y. Matsushima, Espace Homogènes de Stein des Groupes de Lie Complexes, Nagoya Math. J.16 (1960), pp. 205-218. Zbl0094.28201MR109854
  14. [14] D. Montgomery, Simply connected homogeneous spaces, Proc. Amer. Math. Soc.1 (1950), pp. 467-469. Zbl0041.36309MR37311
  15. [15] G.D. Mostow, On Covariant Fiberings of Klein Spaces, Amer. J. Math. 77 (1955), pp. 247-278. Zbl0067.16003MR67901
  16. [16] T. Nagano, Homogeneous Sphere Bundles and the Isotropic Riemannian Manifolds, Nagoya Math. J.15 (1959), pp. 29-55. Zbl0086.36601MR108810
  17. [17] W. Richthofer, Homogene CR-Mannigfaltigkeiten, Dissertation Bochum1985. Zbl0598.58005
  18. [18] N. Steenrod, The Topology of Fibre Bundles, Princeton University Press, Princeton1951. Zbl0054.07103MR39258
  19. [19] R.O. Wells, Differential Analysis on Complex Manifolds, Springer, New York1980. Zbl0435.32004MR608414
  20. [20] S.T. Yau, Calabi's Conjecture and Some New Results in Algebraic Geometry, Proc. Nat. Acad. Sci. USA74 (1977), pp. 1798-1799. Zbl0355.32028MR451180

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