Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures

نویسندگان

چکیده

We show that the existence of a left-invariant pluriclosed Hermitian metric on unimodular Lie group with abelian complex structure forces to be 2-step nilpotent. Moreover, we prove flow starting from nilpotent preserves Strominger Kähler–like condition.

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ژورنال

عنوان ژورنال: Bulletin of The London Mathematical Society

سال: 2022

ISSN: ['1469-2120', '0024-6093']

DOI: https://doi.org/10.1112/blms.12661