Normal form of the NK-curvature operators

Angel Ferrández; Antonio Martínez Naveira

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 3, page 404-417
  • ISSN: 0011-4642

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Ferrández, Angel, and Naveira, Antonio Martínez. "Normal form of the NK-curvature operators." Czechoslovak Mathematical Journal 32.3 (1982): 404-417. <http://eudml.org/doc/13326>.

@article{Ferrández1982,
author = {Ferrández, Angel, Naveira, Antonio Martínez},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal form; curvature operators; nearly Kähler manifold; almost Hermitian manifold},
language = {eng},
number = {3},
pages = {404-417},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Normal form of the NK-curvature operators},
url = {http://eudml.org/doc/13326},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Ferrández, Angel
AU - Naveira, Antonio Martínez
TI - Normal form of the NK-curvature operators
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 404
EP - 417
LA - eng
KW - normal form; curvature operators; nearly Kähler manifold; almost Hermitian manifold
UR - http://eudml.org/doc/13326
ER -

References

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  1. Barros M., Clases de Chern de las NK-variedades. Geometria de las A K 2 -variedades, Tesis. Publ. Univ. de Granada, no. 147, 1977. (1977) 
  2. Bishop R. L., Goldberg S. I., 10.1090/S0002-9947-1964-0163271-8, Trans. Amer. Math. Soc., 112 (1964), 508-535. (1964) Zbl0133.15101MR0163271DOI10.1090/S0002-9947-1964-0163271-8
  3. Ferrández A., Formas normales de los NK-operadores curvatura, Tesis. Publ. Depart, de Geom. y Topol. no. 4, Valencia, 1980. (1980) 
  4. Ferrández A., Nearly-Kaehler curvature operators, To appear in Rev. Roum. de Mat. Pur. et Appl. MR0743225
  5. Gray A., 10.4310/jdg/1214429504, J. Diff. Geom. 4 (1970), 283-309. (1970) Zbl0201.54401MR0267502DOI10.4310/jdg/1214429504
  6. Gray A., 10.2748/tmj/1178240746, Tohoku Math. J., 28 (1976), 601-612. (1976) Zbl0351.53040MR0436054DOI10.2748/tmj/1178240746
  7. Johnson D. L., 10.1307/mmj/1029002401, Mich. Math. J., 27 (1980), 275-294. (1980) Zbl0411.53015MR0584692DOI10.1307/mmj/1029002401
  8. Kobayashi S., Nomizu K., Foundations of Differential Geometry, Vol. I, II, Interscience, New York, 1963, 1969. (1963) MR0152974
  9. Naveira A. M., Hervella L. M., Schur's theorem for Nearly-Kaehler manifolds, Proc. Amer. Math. Soc., Vol. 49, No. 2, (1975), 421-425. (1975) Zbl0282.53021MR0367848
  10. Noriega R. J., Santalo L. A., Variedades Diferenciables, Departamento de Matematicas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1978. (1978) 
  11. Singer I. M., Thorpe J. A., The curvature of 4-dimensional Einstein spaces, Global Analysis (Papers in honor of K. Kodaira), Univ. of Tokyo Press, Tokyo, 1969, 355-365. (1969) Zbl0199.25401MR0256303
  12. Vanhecke L., On the decomposition of curvature vector fields on almost Hermitian manifolds, Conf. on Diff. Geom., Proc., Michigan State Univ., (1976), 17-32. (1976) 
  13. Wolf J. A., Spaces of Constant Curvature, Fourth edition, Publish or Perish, 1977. (1977) MR0928600

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