Locally conformally Kähler solvmanifolds: a survey

Abstract: 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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Locally conformally Kähler solvmanifolds: a survey ; volume:6 ; number:1 ; year:2019 ; pages:65-87 ; extent:23
Complex manifolds ; 6, Heft 1 (2019), 65-87 (gesamt 23)

Creator
Andrada, A.
Origlia, M.

DOI
10.1515/coma-2019-0003
URN
urn:nbn:de:101:1-2410281505280.066934517273
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:27 AM CEST

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Associated

  • Andrada, A.
  • Origlia, M.

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