INTEGRABILITY OF PLANE FIELDS DEFINED BY 2-VECTOR FIELDS
2005 ◽
Vol 16
(02)
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pp. 197-212
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Given a 2-vector field on a manifold, first we briefly discuss the complete integrability of the distribution which is the image of the 2-vector field. Then we show that a new Lie algebroid is defined on such a maniold which is coincident with the cotangent Lie algebroid when the 2-vector field is Poisson. The result is extended to the case of Lie algebroids.
Keyword(s):
2020 ◽
Vol 2020
(760)
◽
pp. 267-293
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Keyword(s):
2016 ◽
Vol 13
(03)
◽
pp. 1650022
Keyword(s):
2019 ◽
Vol 16
(11)
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pp. 1950180
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1991 ◽
Vol 11
(3)
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pp. 443-454
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2011 ◽
Vol 13
(02)
◽
pp. 191-211
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Keyword(s):
1995 ◽
Vol 05
(03)
◽
pp. 895-899
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Keyword(s):
2021 ◽
Vol 62
◽
pp. 53-66