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arXiv · 1811.09207

Locally conformally K\"ahler solvmanifolds: a survey

Adrián Andrada·Marcos Origlia
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Abstract

A Hermitian structure on a manifold is called locally conformally K\"ahler (LCK) if it locally admits a conformal change which is K\"ahler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds equipped with a Vaisman structure, that is, a LCK structure whose associated Lee form is parallel.

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Adrián Andrada, Marcos Origlia. 2018-11-22. Locally conformally K\"ahler solvmanifolds: a survey. https://doi.org/10.1515/coma-2019-0003

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