4-dimensional anti-Kähler manifolds

Authors: Hobum Kim; J. Kim

Source: Acta Mathematica Hungarica, Volume 104, Number 3, 2004 , pp. 265-269(5)

Publisher: Springer

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Abstract:

We show that every 4-dimensional anti-Kähler manifold is Einstein and locally symmetric. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.

Keywords: flat; 4-dimensional anti-Kähler manifold; Einstein; locally symmetric; zero scalar curvature

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:AMHU.0000036286.72733.43

Affiliations: 1: Department of Mathematics, Yonsei University Shinchon 134, Seoul, Korea ; jaeman64@yahoo.co.kr, Email: kimhb@yonsei.ac.kr; jaeman64@yahoo.co.kr

Publication date: 2004-01-01