Tamed symplectic cones of compact Hermitian-symplectic manifolds

Tamed symplectic cones of compact Hermitian-symplectic manifolds
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紧厄米辛流形的驯服辛锥

DOI:
10.1007/s10455-016-9496-2
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发表时间:
2016-02
影响因子:
0.7
通讯作者:
Yang, Song
Yang, Song
中科院分区:
数学4区
文献类型:
--
作者:
Chen, Youming;Yang, Song

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In this paper we consider the tamed symplectic cone of a compact Hermitian-symplectic manifold. First, we prove a Poincaré duality theorem for the tamed symplectic cone. Second, we study the stability of Hermitian-symplectic metrics under the deformation of complex structures and show that the tamed symplectic cones are invariant under the parallel transport with respect to the Gauss–Manin connection.
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