Details

Riccardo Piovani ^[a]

Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds

Pages: 671-692
Received: 23 February 2022
Accepted: 22 April 2022
Mathematics Subject Classification: 32Q60; 53C15; 58A14.
Keywords: Dolbeault Laplacian; Bott-Chern Laplacian; 4-manifold.
Author address:
[a]: Università di Parma, Dipartimento di Scienze Matematiche Fisiche e Informatiche, Unità di Matematica e Informatica, Parma, Italy

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.

References

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