PORTUGALIAE MATHEMATICA Vol. 54, No. 2, pp. 215228 (1997) 

On ParaKählerian Manifolds $M(J,g)$ and on Skew Symmetric Killing Vector Fields Carried by $M$I. Mihai, L. Nicolescu and R. RoscaFaculty of Mathematics,Str. Academiei 14, 70109 Bucharest  ROMANIA 59 Avenue Emile Zola, 75015 Paris  FRANCE Abstract: Paracomplex manifolds and, in particular, paraKählerian manifolds have been for the first time studied by Rashevski [Ra], Libermann [L] and Patterson [Pa]. In the last two decades, several authors have dealt with such type of manifolds, as for instance [R1], [R2], [Cr], [GM], [RMG], [CFG] and some others. A paraKählerian manifold is a manifold endowed with an almost product structure (called also a paracomplex structure) $J$ and a pseudoRiemannian metric $g$, which satisfy the conditions of compatibility $g\circ(J\times J)=g$ and $\nabla J=0$, where $\nabla$ is the LeviCivita connection with respect to $g$. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
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