Title of article :
Lie groupoids and generalized almost paracomplex manifolds
Author/Authors :
SAHIN, Fulya Inonu University - Faculty of Science and Art - Department of Mathematics, Turkey , GURSOY, Mustafa Habil Inonu University - Faculty of Science and Art - Department of Mathematics, Turkey , ICEN, Ilhan Inönü University - Faculty of Science and Art - Department of Mathematics, TURKEY
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics