Article ID Journal Published Year Pages File Type
8904147 Topology and its Applications 2018 8 Pages PDF
Abstract
Let M be a 2n-dimensional smooth manifold with a linear symplectic pair (ω,τ) which is a pair of skew-symmetric 2-forms of constant ranks with complementary kernel foliations. We study properties of almost complex structures compatible with the symplectic pair on M. We show that the space of compatible almost complex structures is contractible. This generalizes a result on compatible almost complex structures for symplectic manifolds.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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