Some Algebraic and Geometric Structures on Poisson Manifolds
Keyword(s):
Abstract In this paper we study some algebraic properties of harmonic forms on Poisson manifolds. It is well known that in the classical case (on Riemannian manifolds) the product of harmonic forms is not harmonic. Here we describe the algebraic and analytical mechanisms explaining this fact. We also obtain a condition under which the product of de Rham cohomology classes, which includes harmonic representatives, can be represented by a harmonic form.
2019 ◽
Vol 2019
(756)
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pp. 101-149
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Keyword(s):
1968 ◽
Vol 8
(2)
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pp. 199-213
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