GELFAND-DORFMAN THEOREM AND EXACT COCYCLE POISSON STRUCTURES

被引：0

作者：

BHASKARA, KH ^{[1
]}

LEAHY, JV ^{[1
]}

RAMA, K ^{[1
]}

机构：

[1] UNIV OREGON,INST THEORET SCI,EUGENE,OR 97403

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1995年 / 34卷 / 03期

关键词：

D O I：

10.1007/BF00671604

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the Gel'fand-Dorfman theorem to Poisson manifolds using the cohomological conditions. We find conditions to construct some compatible Poisson structures (exact cocycle type) suited to the needs of the theorem. Exact Poisson structures on vector spaces are also studied. We prove that every Lie-Poisson structure is exact.

引用

页码：443 / 452

页数：10

共 13 条

[1] Gel'fand-Dorfman Theorem and Exact Cocycle Poisson Structures
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[9] On one class of exact Poisson structures
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[10] Exact Poisson pencils, τ-structures and topological hierarchies
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