On the internal tensor structures of the fibration T ( Lm ( V n ) )
In the present paper we consider some internal tensor structures. It is proved that if on the space Lm ( V n ) there are tensor fields a j i and a β α defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a co...
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Elsevier
2018-04-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809217300995 |
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doaj-cdd9c7ff0e2f47f0b36db87cbe5bfb392020-11-25T00:09:53ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922018-04-011721126132On the internal tensor structures of the fibration T ( Lm ( V n ) ) Gocha Todua0Georgian Technical University, Department of Mathematics, GeorgiaIn the present paper we consider some internal tensor structures. It is proved that if on the space Lm ( V n ) there are tensor fields a j i and a β α defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a complex structure on T ( Lm ( V n ) ) . Keywords: Vector fibration, Tangent bundle, Linear connectedness, Lifts, Tensor structureshttp://www.sciencedirect.com/science/article/pii/S2346809217300995 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gocha Todua |
| spellingShingle |
Gocha Todua On the internal tensor structures of the fibration T ( Lm ( V n ) ) Transactions of A. Razmadze Mathematical Institute |
| author_facet |
Gocha Todua |
| author_sort |
Gocha Todua |
| title |
On the internal tensor structures of the fibration T ( Lm ( V n ) ) |
| title_short |
On the internal tensor structures of the fibration T ( Lm ( V n ) ) |
| title_full |
On the internal tensor structures of the fibration T ( Lm ( V n ) ) |
| title_fullStr |
On the internal tensor structures of the fibration T ( Lm ( V n ) ) |
| title_full_unstemmed |
On the internal tensor structures of the fibration T ( Lm ( V n ) ) |
| title_sort |
on the internal tensor structures of the fibration t ( lm ( v n ) ) |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2018-04-01 |
| description |
In the present paper we consider some internal tensor structures. It is proved that if on the space Lm ( V n ) there are tensor fields a j i and a β α defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a complex structure on T ( Lm ( V n ) ) . Keywords: Vector fibration, Tangent bundle, Linear connectedness, Lifts, Tensor structures |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809217300995 |
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AT gochatodua ontheinternaltensorstructuresofthefibrationtlmvn |
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