Connections induced by -tensor fields on cotangent bundles
Mathematica Bohemica (1998)
- Volume: 123, Issue: 3, page 317-331
- ISSN: 0862-7959
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topDekrét, Anton. "Connections induced by $(1,1)$-tensor fields on cotangent bundles." Mathematica Bohemica 123.3 (1998): 317-331. <http://eudml.org/doc/248298>.
@article{Dekrét1998,
abstract = {On cotangent bundles the Liouville field, the Liouville 1-form $\varepsilon $ and the canonical symplectic structure d$\varepsilon $ exist. In this paper interactions between these objects and $\{(1,1)\}$-tensor fields on cotangent bundles are studied. Properties of the connections induced by the above structures are investigated.},
author = {Dekrét, Anton},
journal = {Mathematica Bohemica},
keywords = {connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure; connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure},
language = {eng},
number = {3},
pages = {317-331},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Connections induced by $(1,1)$-tensor fields on cotangent bundles},
url = {http://eudml.org/doc/248298},
volume = {123},
year = {1998},
}
TY - JOUR
AU - Dekrét, Anton
TI - Connections induced by $(1,1)$-tensor fields on cotangent bundles
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 3
SP - 317
EP - 331
AB - On cotangent bundles the Liouville field, the Liouville 1-form $\varepsilon $ and the canonical symplectic structure d$\varepsilon $ exist. In this paper interactions between these objects and ${(1,1)}$-tensor fields on cotangent bundles are studied. Properties of the connections induced by the above structures are investigated.
LA - eng
KW - connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure; connection; almost complex structure; tensor field; Liouville field; canonical symplectic structure
UR - http://eudml.org/doc/248298
ER -
References
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