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AFİNOR ALANLARIN HORİZONTAL LİFTİNİN NİJENHUİS-SHİROKOV TENSÖRÜ HAKKINDA

Year 2001, Volume: 2 Issue: 1, 29 - 34, 01.01.2001

Necmi Cengiz Arif A. Salimov

Abstract

Bu çalışmada almost kompleks yapının Nijenhuis tensörünün almost cebirsel yapılara genişlemesi olan Nijenhuis-Shirokov tensörü invaryant formda verilmiş ve bu tür tensörler tanjant demette incelenmiştir. Tanjant demette horizontal lift yardımıyla oluşan almost cebirsel yapının Nijenhuis-Shirokov tensörünün sıfıra eşit olmasını sağlayan şartlar bulunmuştur.

Keywords

Tensör Afinor Alan Tanjant Demet Horizontal Lift

References

  • TACHIBANA, S. (1960), Analytic tensor and its generalization, Tohoku Math. J„ 12N.2, 208-221.
  • YANO, K., AKO, M. (1968), On certain operators associated with tensor fields, Kodai Math. Sem., Rep., 20, 414-436.
  • KRUCHKOVICH, G.I. (1972), Hypercomplex structures on manifolds, I. Trudy sem. vector, tensor, anal, Moscow Univ., N .1 6 ,174-201.
  • YANO, K., ISHIHARA, S. (1973),Tangent and Cotangent bundles, Marcel Dekker Inc., New York.
  • SALIMOV, A.A. (1994), The Generalized Yano-Ako operator and complete lift of the tensor fields, Tensor N.S., Tensor Soc. of Japan, 55, N.2, 142-146.

Year 2001, Volume: 2 Issue: 1, 29 - 34, 01.01.2001

Necmi Cengiz Arif A. Salimov

Abstract

The main purpose of the present paper is first of all to study Nijenhuis-Shirokov tensors for an almost algebraic structure and then to apply the results to the study of tangent bundles

Keywords

Tensor affinor field tangent bundle horizontal lift

References

  • TACHIBANA, S. (1960), Analytic tensor and its generalization, Tohoku Math. J„ 12N.2, 208-221.
  • YANO, K., AKO, M. (1968), On certain operators associated with tensor fields, Kodai Math. Sem., Rep., 20, 414-436.
  • KRUCHKOVICH, G.I. (1972), Hypercomplex structures on manifolds, I. Trudy sem. vector, tensor, anal, Moscow Univ., N .1 6 ,174-201.
  • YANO, K., ISHIHARA, S. (1973),Tangent and Cotangent bundles, Marcel Dekker Inc., New York.
  • SALIMOV, A.A. (1994), The Generalized Yano-Ako operator and complete lift of the tensor fields, Tensor N.S., Tensor Soc. of Japan, 55, N.2, 142-146.
There are 5 citations in total.

Details

Primary Language Turkish
Journal Section Research Article
Authors

Necmi Cengiz This is me

Arif A. Salimov This is me

Publication Date January 1, 2001
Published in Issue Year 2001 Volume: 2 Issue: 1

Cite

APA Cengiz, N., & Salimov, A. A. (2001). AFİNOR ALANLARIN HORİZONTAL LİFTİNİN NİJENHUİS-SHİROKOV TENSÖRÜ HAKKINDA. Doğuş Üniversitesi Dergisi, 2(1), 29-34.