Compact symplectic four solvmanifolds without polarizations

Luis A. Cordero; Marisa Fernández; Manuel De León; Martín Saralegui

Annales de la Faculté des sciences de Toulouse : Mathématiques (1989)

  • Volume: 10, Issue: 2, page 193-198
  • ISSN: 0240-2963

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Cordero, Luis A., et al. "Compact symplectic four solvmanifolds without polarizations." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.2 (1989): 193-198. <http://eudml.org/doc/73230>.

@article{Cordero1989,
author = {Cordero, Luis A., Fernández, Marisa, De León, Manuel, Saralegui, Martín},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Kähler polarization; symplectic manifolds; solvmanifold; Kähler manifold},
language = {eng},
number = {2},
pages = {193-198},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Compact symplectic four solvmanifolds without polarizations},
url = {http://eudml.org/doc/73230},
volume = {10},
year = {1989},
}

TY - JOUR
AU - Cordero, Luis A.
AU - Fernández, Marisa
AU - De León, Manuel
AU - Saralegui, Martín
TI - Compact symplectic four solvmanifolds without polarizations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1989
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 2
SP - 193
EP - 198
LA - eng
KW - Kähler polarization; symplectic manifolds; solvmanifold; Kähler manifold
UR - http://eudml.org/doc/73230
ER -

References

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  3. [3] Fernández ( M.), Gotay ( M.J.), Gray ( A.).— Compact parallelizable four dimensional symplectic and complex manifolds. Proc. Amer. Math. Soc.103, 1988, p. 1209-1212. Zbl0656.53034MR955011
  4. [4] Fernández ( M.), Gray ( A.).- Compact symplectic four dimensional solvmanifolds not admitting complex structures. (Preprint). 
  5. [5] Fernández ( M.), de LEÓN ( M.).- Compact symplectic four dimensional manifolds no admitting polarizations. (Preprint). 
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  9. [9] Simms ( D.J.).— Geometric quantization of energy levels in the Kepler problem. Symp. Math.14, 1974, p. 125-137. Zbl0306.53038MR385925
  10. [10] Sniatycki ( J.).- Geometric Quantization and Quantum Mechanics. Applied Mathematical Sciences Series30, Springer-Verlag, New York, 1980. Zbl0429.58007MR554085
  11. [11] Vaisman ( I.).— The Bott obstruction to the existence of nice polarizations. Mh. Math.92, 1981, p. 231-238. Zbl0459.53028MR638166
  12. [12] Weinstein ( A.).— Lecture on Symplectic Manifolds. CBMS Reg. Conf. Ser. Math.29, Amer. Math. Soc., Providence, R.I., 1977. Zbl0406.53031MR464312
  13. [13] Woodhouse ( N.M.J.).— Geometric Quantization. Clarendon Press, Oxford, 1980. Zbl0458.58003MR605306
  14. [14] Yau ( S.T.).— Parallelizable manifolds without complex structure. Topology15, 1976, p. 51- 53. Zbl0331.32013MR397030

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