Article ID Journal Published Year Pages File Type
1892730 Journal of Geometry and Physics 2015 12 Pages PDF
Abstract
We define Aeppli and Bott-Chern cohomology for bi-generalized complex manifolds and show that they are finite dimensional for compact bi-generalized Hermitian manifolds. For totally bounded double complexes (A,d′d″), we show that the validity of d′d″-lemma is equivalent to having the same dimension of several cohomology groups. Some calculations of Bott-Chern cohomology groups of some bi-generalized Hermitian manifolds are given.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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