| Title:
|
Normal form of the NK-curvature operators (English) |
| Author:
|
Ferrández, Angel |
| Author:
|
Naveira, Antonio Martínez |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1982 |
| Pages:
|
404-417 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 0532.53053 |
| idMR:
|
MR669783 |
| DOI:
|
10.21136/CMJ.1982.101817 |
| . |
| Date available:
|
2008-06-09T14:49:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101817 |
| . |
| Reference:
|
[1] Barros M.: Clases de Chern de las NK-variedades. Geometria de las $AK\sb{2}$-variedades.Tesis. Publ. Univ. de Granada, no. 147, 1977. |
| Reference:
|
[2] Bishop R. L., Goldberg S. I.: Some implications of the generalized Gauss-Bonnet theorem.Trans. Amer. Math. Soc., 112 (1964), 508-535. Zbl 0133.15101, MR 0163271, 10.1090/S0002-9947-1964-0163271-8 |
| Reference:
|
[3] Ferrández A.: Formas normales de los NK-operadores curvatura.Tesis. Publ. Depart, de Geom. y Topol. no. 4, Valencia, 1980. |
| Reference:
|
[4] Ferrández A.: Nearly-Kaehler curvature operators.To appear in Rev. Roum. de Mat. Pur. et Appl. MR 0743225 |
| Reference:
|
[5] Gray A.: Nearly-Kaehler manifolds.J. Diff. Geom. 4 (1970), 283-309. Zbl 0201.54401, MR 0267502, 10.4310/jdg/1214429504 |
| Reference:
|
[6] Gray A.: Curvature identities for Hermitian and almost Hermitian manifolds.Tohoku Math. J., 28 (1976), 601-612. Zbl 0351.53040, MR 0436054, 10.2748/tmj/1178240746 |
| Reference:
|
[7] Johnson D. L.: Sectional curvature and curvature normal forms.Mich. Math. J., 27 (1980), 275-294. Zbl 0411.53015, MR 0584692, 10.1307/mmj/1029002401 |
| Reference:
|
[8] Kobayashi S., Nomizu K.: Foundations of Differential Geometry, Vol. I, II.Interscience, New York, 1963, 1969. MR 0152974 |
| Reference:
|
[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. Zbl 0282.53021, MR 0367848 |
| Reference:
|
[10] Noriega R. J., Santalo L. A.: Variedades Diferenciables.Departamento de Matematicas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1978. |
| Reference:
|
[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. Zbl 0199.25401, MR 0256303 |
| Reference:
|
[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. |
| Reference:
|
[13] Wolf J. A.: Spaces of Constant Curvature.Fourth edition, Publish or Perish, 1977. MR 0928600 |
| . |
