A Hermitian metric on a complex manifold of complex dimension n is called astheno-Kähler if its fundamental 2-form F satisfies the condition ∂∂Fn-2 = 0 and it is strong KT if F is ∂∂-closed. We review some properties of strong KT and astheno-Kähler metrics. Examples of compact manifolds endowed with this type of Hermitian metrics are also given. This note is based on the results obtained in [11, 12]. © 2009 American Institute of Physics.
Astheno-Kähler and strong KT metrics / Fino, Anna; Tomassini, Adriano.. - 1130:(2009), pp. 152-158. [10.1063/1.3146231]
Astheno-Kähler and strong KT metrics
Tomassini Adriano.
2009-01-01
Abstract
A Hermitian metric on a complex manifold of complex dimension n is called astheno-Kähler if its fundamental 2-form F satisfies the condition ∂∂Fn-2 = 0 and it is strong KT if F is ∂∂-closed. We review some properties of strong KT and astheno-Kähler metrics. Examples of compact manifolds endowed with this type of Hermitian metrics are also given. This note is based on the results obtained in [11, 12]. © 2009 American Institute of Physics.File in questo prodotto:
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