Almost hermitian geometry on six dimensional nilmanifolds

Elsa Abbena; Sergio Garbiero; Simon Salamon

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 1, page 147-170
  • ISSN: 0391-173X

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Abbena, Elsa, Garbiero, Sergio, and Salamon, Simon. "Almost hermitian geometry on six dimensional nilmanifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.1 (2001): 147-170. <http://eudml.org/doc/84434>.

@article{Abbena2001,
author = {Abbena, Elsa, Garbiero, Sergio, Salamon, Simon},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {147-170},
publisher = {Scuola normale superiore},
title = {Almost hermitian geometry on six dimensional nilmanifolds},
url = {http://eudml.org/doc/84434},
volume = {30},
year = {2001},
}

TY - JOUR
AU - Abbena, Elsa
AU - Garbiero, Sergio
AU - Salamon, Simon
TI - Almost hermitian geometry on six dimensional nilmanifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2001
PB - Scuola normale superiore
VL - 30
IS - 1
SP - 147
EP - 170
LA - eng
UR - http://eudml.org/doc/84434
ER -

References

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  2. [2] V. Apostolov - G. Grantcharov - S. Ivanov, Hermitian structures on twistor spaces, Ann. Global Anal. Geom.16 (1998), 291-308. Zbl0907.53024MR1626671
  3. [3] C. Benson - C.S. Gordon, Kähler and symplectic structures on nilmanifolds, Topology27 (1988), 513-518. Zbl0672.53036MR976592
  4. [4] F. Campana, Remarques sur les groupes de Kähler nilpotents, C. R. Acad. Sci. Paris317 (1993), 777-780. Zbl0801.53053MR1244429
  5. [5] L.A. Cordero - M. Fernández - A. Gray - L. Ugarte, Nilpotent complex structure on compact nilmanifolds, Rend. Circ. Mat. Palermo, 49 suppl. (1997), 83-100. Zbl0905.58001MR1602971
  6. [6] A. Farinola - M. Falcitelli - S. Salamon, Almost-Hermitian geometry, Differential Geom. Appl.4 (1994), 259-282. Zbl0813.53044MR1299398
  7. [7] A. Gray - L.M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl.123 (1980), 35-58. Zbl0444.53032MR581924
  8. [8] J-I. Hano, On Kählerian homogeneous spaces of unimodular Lie groups, Amer. J. Math.79 (1957), 885-900. Zbl0096.16203MR95979
  9. [9] L. Magnin, Sur les algèbres de Lie nilpotentes de dimension ≤ 7, J. Geom. Phys.3 (1986), 119-144. Zbl0594.17006
  10. [10] A.I. Malcev, On a class of homogeneous spaces, reprinted in Amer. Math. Soc. Translations, Series 1,9 (1962), 276-307. 
  11. [11] D. McDuff, The moment map for circle action on symplectic manifolds, J. Geom. Phys.5 (1988), 149-160. Zbl0696.53023MR1029424
  12. [12] K. Nomizu, On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Ann. of Math.59 (1954), 531-538. Zbl0058.02202MR64057
  13. [13] R. Penrose - W. Rindler, "Spinors and Space-Time", Volume 1, Cambridge University Press, 1987. Zbl0591.53002MR917488
  14. [14] S. Salamon, Complex structures on nilpotent Lie algebras, to appear in J. Pure Appl. Alegbra. Zbl1020.17006MR1812058
  15. [15] A. Tralle - J. Oprea, "Symplectic Manifolds with no Kaehler Structure", Lect. Notes Math. 1661, Springer-Verlag, 1997. Zbl0891.53001MR1465676

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