Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds and d'd''-lemma
Chen, Tai-Wei · Ho, Chung-I · Teh, Jyh-Haur
Original · EN
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.
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