Locally conformally Kähler solvmanifolds: a survey

Autor: Andrada A., Origlia M.
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Complex Manifolds, Vol 6, Iss 1, Pp 65-87 (2019)
Druh dokumentu: article
ISSN: 2300-7443
DOI: 10.1515/coma-2019-0003
Popis: A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. 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.
Databáze: Directory of Open Access Journals