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Title: On applications of the Yano–Ako operator (English)
Author: Magden, A.
Author: Salimov, A. A.
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 45
Issue: 1
Year: 2006
Pages: 135-141
Summary lang: English
Category: math
Summary: In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in $M_{n}$ can be extended to the tensor bundle $T_q^0(M_n)$ $(q>0)$ on the \textit{pure cross-section.} The results obtained are to some extend similar to results previously established for cotangent bundles $T_{1}^{0}(M_{n})$. However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle $T_{q}^{0}(M_{n})$ $(q>1)$ on the \textit{pure cross-section} presents difficulties which are not encountered in the case of the cotangent bundle. (English)
Keyword: Lift
Keyword: tensor bundle
Keyword: pure tensor
Keyword: operator Yano--Ako
MSC: 53A45
MSC: 53C05
MSC: 53C15
MSC: 53C25
MSC: 53C55
idZBL: Zbl 1129.53015
idMR: MR2321305
Date available: 2009-08-21T07:05:31Z
Last updated: 2012-05-04
Stable URL:
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Reference: [5] Salimov A. A.: Generalized Yano–Ako operator and the complete lift of tensor fields.Tensor N. S., Tensor Soc. of Japan 55, 2 (1994), 142–146. Zbl 0818.53032, MR 1310107
Reference: [6] Cengiz N., Salimov A. A.: Diagonal lift in the tensor bundle and its applications.Appl. Math. Comput. 142, 2–3 (2003), 309–319. Zbl 1034.53016, MR 1979438
Reference: [7] Salimov A. A., Cengiz N.: Lift of Riemannian metrics to tensor bundles.Russian Math. (IZ. VUZ) 47, 11 (2003), 47–55. MR 2038854
Reference: [8] Magden A., Cengiz N., Salimov A. A.: Horizontal lift of affinor structures and its applications.Appl. Math. Comput. 156, 2 (2004), 455–461. Zbl 1073.53044, MR 2087522


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