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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

https://izlik.org/JA79UX27ER

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

https://izlik.org/JA79UX27ER

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
Authors

Necmi Cengiz This is me

Arif A. Salimov This is me

Publication Date January 1, 2001
IZ https://izlik.org/JA79UX27ER
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. https://izlik.org/JA79UX27ER