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2012, № 1 (137)



Shikhab Ali Abdul-Majid APPROXIMATELY KAHLER MANIFOLD OF CONSTANT HOLOMORPHIC CONHARMONIC CURVATUREThe author considered approximately Kahler manifold of dotted-constant conharmonic holomorphic curvature. It is proved that NK-manifold is the variety of dotted constant holomorphic conharmonic curvature c if and only if on the space bound of G-structure. The author also shows that the dotted constancy of holomorphic conharmonic curvature of coherent NK-manifold of dimensions is over four amounts to its global consistency. Key words: approximately Kahler manifold; conharmonic curvature tensor; space of bound G-structure; conharmonic holomorphic curvature tensor.

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References:

1. Kirichenko V.F. Differential-geometrical structures on manifold. — М., МSPU, 2003. — 495 р.

2. Kobayashi S. On compact Kahler manifolds with positive Ricci tensor. Ann. Math. 74 (1961), 570-574.

3. 3.Liberman P. Sur les connexions hermitiennes. C. r. Acad. Sci. Paris 239, № 23 (1954), 1579-1581.

4. Gray A. Classification des varietes approximativement kahleriennes de courbure sectionelle holomorphe constante. C. r. Acad. Sci. Paris 279, № 22 (1974), 797-800.

5. Gray A. Nearly Kahler manifolds. J. Diff. Geom. 4, №3 (1970), 283-309.

6. Hawley N.S. Constant holomorphic curvature. Canad. J. Math. 1953, v.5, №1, 53-56.

7. Igusa J. On the structure of a certain class of Kahler varietes. Amer. J. Math. 1954, v.7, № 3, 669-678.

8. Ishii Y. On conharmonic transformations. Tensor, 7(2), 1957, 73-80.

9. Gray A. Curvature identities for Hermitian and almost Hermitian manifolds, Tohoku Math. J. 28, №4 (1976), 601-612.

10. Kirichenko V.F.K-space of constant holomorphic sectional curvature., Mathematical Notes 19, № 5 (1976), 805-814

11. Kirichenko V.F. Generalized quasi-Kaehlerian manifolds and axioms of CR-submanifolds in generalized Hermitian geometry, II. Geometriae Dedicata, 52, 1994, 53-85.

12. Gray A. Nearly Kahler manifolds. J. Diff. Geom. 12, 1965, 273-277.

13. Gray A., Vanhecke L. Almost Hermitian manifolds with constant holomorphic sectional curvature. Cac. Pestov. Math., v.104, №2, 1979, 170-179.

14. Naveira A.M., Hervella L.M. Shur's theorem for nearly Kahler manifolds. Proc. Amer. Math. Soc., v.49, №2, 1975, 421-425.

15. Sato I. On special K-space on constant holomorphic sectional curvature. Tensor, v.24, 1972, 355-362.

16. Sawaki S., Watanabe Y., Sato. Notes on K-spaces of constant holomorphic sectional curvature. Kodai Math. Semin. Repts, v. 26, № 4, 1975, 438-445.

17. Watanabe Y., Takamatsu K. On a K-space of constant holomorphic sectional curvature. Kodai Math. Semin. Repts, v. 25, № 3, 1973, 297-306.

18. Kirichenko V.F K-algebra and K-spaces of constant type with indefinite metric. Mathematical Notes, V. 29, № 2, 1981, 265-278.

19. Kirichenko V.F. Some types of K-spaces. Advances of Mathematical Sciences, v. 30, № 3, 1975, 163-164.


About this article

Author: Shihab Ali Abdul-madzhid

Year: 2012


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

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