Generalized Kählerian manifolds and transformation of generalized contact structures

Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, and Aissa Wade

Address:
H. Bouzir, Laboratoire de Physique Quantique de la Matiére et de Modélisation Mathématique (LPQ3M), Université de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria
G. Beldjilali, Laboratoire de Physique Quantique de la Matiére et de Modélisation Mathématique (LPQ3M), Université de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria
M. Belkhelfa, Laboratoire de Physique Quantique de la Matiére et de Modélisation Mathématique (LPQ3M), Université de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria
A. Wade, Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA

E-mail:
bouzirhabib@yahoo.fr
Beldjilali29@gmail.com
mohamed.belkhelfa@gmail.com
wade@math.psu.edu

Abstract: The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.

AMSclassification: primary 53C10; secondary 53C15, 53C18, 53D25.

Keywords: product manifolds, trans-Sasakian manifolds, generalized Kählerian manifolds, generalized contact structures, transformation of generalized almost contact structures, generalized almost complex structures.

DOI: 10.5817/AM2017-1-35