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Year 2000, Volume: 1 Issue: 2, 132 - 139, 01.07.2000

Ekrem Kadığolu Muhammet Kamalı Arif A. Salimov

https://izlik.org/JA79AF94HZ

Abstract

Let Vn be the Riemann manifold. Let T pq Vn and T pq+J Vn be the tensor bundle of type p,q and p - J, q + J over the Riemann Manifold Vn, respectively. It is given a diffeomorphism / : Tp Vn ' Tq+J Vn , y ! = y 1 xK ; 1,K = 1, 2, 3, ..., n + n p+q . In this work, if V is the Riemann connection, it is shown that cp is transformed to 1 j by the diffeomorphism / .

Keywords

Tensor bundle lift horizontal lift

References

  • KOBAYASHİ, S., NOM İZU, K. (1963), Foundation of Differential Geometry I, New York: Interscience Publishers.
  • MAĞDEN, A., SALIMOV, A.A. (1997), "Afinorun tensör demete kesit boyun­ ca tam lifti" Sakarya Üniv. M atematik Semp.
  • TACHİBANA, S. (1960), "Analytic tensor and generalization" Tohoku Math. J., 201-221.
  • VISHNEVSKI, V.V., SHİROKOV, A.P., SHURYGİN, V.V. (1985), "Spaces over algebras" Kazan Gos. Univ., Kazan, (Russian).
  • YANO, K., AKO, M. (1968), "On certain operators associate with tensor fields" Kodai Math. Sem. Rep., 20(4), 414-436.

AFINOR ALANININ YATAY LİFTİNİN TAŞINMASI HAKKINDA

Year 2000, Volume: 1 Issue: 2, 132 - 139, 01.07.2000

Ekrem Kadığolu Muhammet Kamalı Arif A. Salimov

https://izlik.org/JA79AF94HZ

Abstract

Vn Riemann manifoldu, T pq Vn ve T p-1 Vn ise bu Riemann Manifoldu üzerinde sırasıyla p,q ve p - 1, q + 1 tipli tensör demetleri olsun. / : T p Vn ' T + Vn , y 1 = y 1 xK ;I,K = 1, 2, 3, ..., n + n p+q diffeomorfizmi verilsin. Bu çalışmada, V Riemann konneksiyonu ise, H qp ten2 sörünün, / altında, q tensörünün dönüşümü olarak elde edildiği gösterildi.

Keywords

Tensör Demeti Lift Yatay Lift

References

  • KOBAYASHİ, S., NOM İZU, K. (1963), Foundation of Differential Geometry I, New York: Interscience Publishers.
  • MAĞDEN, A., SALIMOV, A.A. (1997), "Afinorun tensör demete kesit boyun­ ca tam lifti" Sakarya Üniv. M atematik Semp.
  • TACHİBANA, S. (1960), "Analytic tensor and generalization" Tohoku Math. J., 201-221.
  • VISHNEVSKI, V.V., SHİROKOV, A.P., SHURYGİN, V.V. (1985), "Spaces over algebras" Kazan Gos. Univ., Kazan, (Russian).
  • YANO, K., AKO, M. (1968), "On certain operators associate with tensor fields" Kodai Math. Sem. Rep., 20(4), 414-436.
There are 5 citations in total.

Details

Primary Language Turkish
Authors

Ekrem Kadığolu This is me

Muhammet Kamalı This is me

Arif A. Salimov This is me

Publication Date July 1, 2000
IZ https://izlik.org/JA79AF94HZ
Published in Issue Year 2000 Volume: 1 Issue: 2

Cite

APA Kadığolu, E., Kamalı, M., & Salimov, A. A. (2000). AFINOR ALANININ YATAY LİFTİNİN TAŞINMASI HAKKINDA. Doğuş Üniversitesi Dergisi, 1(2), 132-139. https://izlik.org/JA79AF94HZ