We recall the most recent results concerning the spaces of Dolbeault and Bott-Chern harmonic (1, 1)-forms on a compact almost Hermitian 4-manifold and compute the dimension of the space of Dolbeault harmonic (1, 1)-forms in some explicit examples.
Piovani, R., Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds, <<RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA>>, 2022; 13 (2): 671-692 [https://hdl.handle.net/10807/334244]
Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds
Piovani, Riccardo
2022
Abstract
We recall the most recent results concerning the spaces of Dolbeault and Bott-Chern harmonic (1, 1)-forms on a compact almost Hermitian 4-manifold and compute the dimension of the space of Dolbeault harmonic (1, 1)-forms in some explicit examples.
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