Lie groupoids and generalized almost paracomplex manifolds

Authors: FULYA ŞAHİN, MUSTAFA HABİL GÜRSOY, İLHAN İÇEN

Abstract: In this paper, we show that there is a close relationship between generalized paracomplex manifolds and Lie groupoids. We obtain equivalent assertions among the integrability conditions of generalized almost paracomplex manifolds, the condition of compatibility of source and target maps of symplectic groupoids with symplectic form and generalized paraholomorphic maps.

Keywords: Lie groupoid, symplectic groupoid, generalized almost paracomplex manifold

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