We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces of harmonic forms and cohomologies with the classical de Rham, Dolbeault, Bott-Chern and Aeppli cohomologies.

Differential operators on almost-Hermitian manifolds and harmonic forms / Tardini, N.; Tomassini, A.. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - 7:1(2020), pp. 106-128. [10.1515/coma-2020-0006]

Differential operators on almost-Hermitian manifolds and harmonic forms

Tardini N.;Tomassini A.
2020

Abstract

We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces of harmonic forms and cohomologies with the classical de Rham, Dolbeault, Bott-Chern and Aeppli cohomologies.
Differential operators on almost-Hermitian manifolds and harmonic forms / Tardini, N.; Tomassini, A.. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - 7:1(2020), pp. 106-128. [10.1515/coma-2020-0006]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2880346
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