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

Authors: MURAT İŞCAN, HİLMİ SARSILMAZ, SİBEL TURANLI

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.

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

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