Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 6

On 4-dimensional almost para-complex pure-Walker manifolds

Pages
1071–1080
DOI
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Abstract

This paper is concerned with almost para-complex structures on Walker 4-manifolds. For these structures, we study some problems of Kähler manifolds. We also give an example of a flat almost para-complex manifold, which consists of a nonintegrable almost para-complex structure on Walker 4-manifolds.

Özet

This paper is concerned with almost para-complex structures on Walker 4-manifolds. For these structures, we study some problems of Kähler manifolds. We also give an example of a flat almost para-complex manifold, which consists of a nonintegrable almost para-complex structure on Walker 4-manifolds.

Keywords: Almost para-complex structure, pure metric, neutral metric, Walker metric, Kähler structure