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arXiv research

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2 results for “LCSKT”

Locally conformal SKT structuresmath.DG

Locally conformal SKT structures are introduced and studied on Lie groups and their compact quotients.

problem Existence and classification of LCSKT structures on Lie groups and their quotients.

method Introducing LCSKT structures and studying their properties on Lie groups and their quotients.

result Existence of non-trivial LCSKT structures on 6-dimensional nilpotent Lie algebras and almost abelian Lie algebras.

Locally conformal SKT Lie groups Compact quotients Hermitian structures Nilpotent Lie algebras

2021-10-07abs ↗pdf ↗

Locally conformal SKT almost abelian Lie algebrasmath.DG

This paper classifies LCSKT almost abelian Lie algebras in 6 dimensions.

problem Characterizing LCSKT structures on almost abelian Lie algebras.

method Analyzing the LCSKT condition and its compatibility with other Hermitian structures.

result Classification of LCSKT almost abelian Lie algebras in dimension 6.

LCSKT Lie algebras Hermitian structures Bismut torsion closed 1-form

2022-12-22abs ↗pdf ↗