Osaka Journal of Mathematics

Locally conformal Kähler structures on compact solvmanifolds

Hiroshi Sawai

Full-text: Open access

Abstract

Let $(M, g, J)$ be a compact Hermitian manifold and $\Omega$ the fundamental 2-form of $(g, J)$. A Hermitian manifold $(M, g, J)$ is said to be locally conformal Kähler if there exists a closed 1-form $\omega$ such that $d\Omega=\omega \wedge \Omega$. The purpose of this paper is to investigate a relation between a locally conformal Kähler structure and the adapted differential operator on compact solvmanifolds.

Article information

Source
Osaka J. Math., Volume 49, Number 4 (2012), 1087-1102.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1355926888

Mathematical Reviews number (MathSciNet)
MR3007955

Zentralblatt MATH identifier
1275.53066

Subjects
Primary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx]
Secondary: 17B30: Solvable, nilpotent (super)algebras

Citation

Sawai, Hiroshi. Locally conformal Kähler structures on compact solvmanifolds. Osaka J. Math. 49 (2012), no. 4, 1087--1102. https://projecteuclid.org/euclid.ojm/1355926888


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