On applications of the Yano–Ako operator
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2006)
- Volume: 45, Issue: 1, page 135-141
- ISSN: 0231-9721
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topMagden, A., and Salimov, Arif A.. "On applications of the Yano–Ako operator." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 45.1 (2006): 135-141. <http://eudml.org/doc/32509>.
@article{Magden2006,
abstract = {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)$$(q>0)$ on the pure cross-section. The results obtained are to some extend similar to results previously established for cotangent bundles $T_\{1\}^\{0\}(M_\{n\})$. However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle $T_\{q\}^\{0\}(M_\{n\})$$(q>1)$ on the pure cross-section presents difficulties which are not encountered in the case of the cotangent bundle.},
author = {Magden, A., Salimov, Arif A.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Lift; tensor bundle; pure tensor; operator Yano--Ako; lift; tensor bundle; pure tensor; operator Yano-Ako},
language = {eng},
number = {1},
pages = {135-141},
publisher = {Palacký University Olomouc},
title = {On applications of the Yano–Ako operator},
url = {http://eudml.org/doc/32509},
volume = {45},
year = {2006},
}
TY - JOUR
AU - Magden, A.
AU - Salimov, Arif A.
TI - On applications of the Yano–Ako operator
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2006
PB - Palacký University Olomouc
VL - 45
IS - 1
SP - 135
EP - 141
AB - 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)$$(q>0)$ on the pure cross-section. The results obtained are to some extend similar to results previously established for cotangent bundles $T_{1}^{0}(M_{n})$. However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle $T_{q}^{0}(M_{n})$$(q>1)$ on the pure cross-section presents difficulties which are not encountered in the case of the cotangent bundle.
LA - eng
KW - Lift; tensor bundle; pure tensor; operator Yano--Ako; lift; tensor bundle; pure tensor; operator Yano-Ako
UR - http://eudml.org/doc/32509
ER -
References
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- Cengiz N., Salimov A. A., Diagonal lift in the tensor bundle and its applications, Appl. Math. Comput. 142, 2–3 (2003), 309–319. Zbl1034.53016MR1979438
- Salimov A. A., Cengiz N., Lift of Riemannian metrics to tensor bundles, Russian Math. (IZ. VUZ) 47, 11 (2003), 47–55. MR2038854
- Magden A., Cengiz N., Salimov A. A., Horizontal lift of affinor structures and its applications, Appl. Math. Comput. 156, 2 (2004), 455–461. Zbl1073.53044MR2087522
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