The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups

نویسندگان

چکیده

Abstract We give a complete classification of left invariant para-Kähler structures on four-dimensional simply connected Lie groups up to an automorphism. As application we discuss some curvatures properties the canonical connection associated these as flat, Ricci flat and existence solitons.

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ژورنال

عنوان ژورنال: Complex Manifolds

سال: 2022

ISSN: ['2300-7443']

DOI: https://doi.org/10.1515/coma-2021-0127