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Para-Hermityen Manifoldlar (Seri C) için Eğrilik Kimlikler üzerinde

On Curvature Identities For Para-Hermitian Manifolds (Series C)

Journal Name:

  • Çankaya University Journal of Arts and Sciences

Publication Year:

  • 2005

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, firstly it is given the definitions and properties of paracomplex structures. Then using this differential geometric structures we obtain a partial paracomplex generalization of curvature identities for Hermitian manifolds and quasi -Kaehler manifolds known to be complex manifolds and studied by Gray in [2].
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Abstract (Original Language): 
Bu makalede, öncelikle para-kompleks yapıların tanımları ve özellikleri verildi. Daha sonra, bu diferensiyel geometrik yapılar kullanılarak, [2] de Gray tarafından çalışılan ve komplex manifoldlar olarak bilinen Hermit ve yarı-Kahler manifoldları için eğrilik özdeşliklerinin kısmi bir para-kompleks genellemesi elde edildi.
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  • 1
119-128
  • Turkish

REFERENCES

References: 

[1] Cruceanu V., Gadea P.M., Munos Masque J., Para-Hermitian and Para- Kaehler Manifolds, Supported by the commission of the European Communities' Action for Cooperation in Sciences and Technology with Central Eastern European Countries n. ERB3510PL920841.
[2] Gray A., Curvature Identites For Hermitian and Almost Hermitian Manifolds, To hoku Math. Journ., 28(1976) S 601-612.
[3] Naveira A.M., Vanhecke L., Two Problems For Almost Hermitian Manifolds, Demonstratio Mathematica,
Vol.X,No:1,(1977) S189-203. [4] P Mileva, On a curvature tensor of Kaehler type in an almost Hermitian and almost para-Hermitian
manifold, MATEMATHXKH BECHHK , 50 (1998), 57-64.

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