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

AFINOR ALANININ YATAY LİFTİNİN TAŞINMASI HAKKINDA

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

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