J4 ›› 2010, Vol. 07 ›› Issue (4): 579-582.
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SONG Lina
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Using the method in Poisson geometry, the author proved that a linear Jacobi structure corresponds to a linear Poisson structure and a 1-cocycle. Thus, by the classification of linear Poisson structures on R3, the classification of linear Jacobi structures on R3 is obtained after computing the first cohomology.
Key words: Jacobi structures, Poisson structures, 1-cocycles, classification
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SONG Li-Na. Classification of Linear Jacobi Structures on[J].J4, 2010, 07(4): 579-582.
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