Generalized Kählerian manifolds and transformation of generalized contact structures

Habib Bouzir; Gherici Beldjilali; Mohamed Belkhelfa; Aissa Wade

Archivum Mathematicum (2017)

  • Volume: 053, Issue: 1, page 35-48
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Bouzir, Habib, et al. "Generalized Kählerian manifolds and transformation of generalized contact structures." Archivum Mathematicum 053.1 (2017): 35-48. <http://eudml.org/doc/287966>.

@article{Bouzir2017,
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.},
author = {Bouzir, Habib, Beldjilali, Gherici, Belkhelfa, Mohamed, Wade, Aissa},
journal = {Archivum Mathematicum},
keywords = {product manifolds; trans-Sasakian manifolds; generalized Kählerian manifolds; generalized contact structures; transformation of generalized almost contact structures; generalized almost complex structures},
language = {eng},
number = {1},
pages = {35-48},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Generalized Kählerian manifolds and transformation of generalized contact structures},
url = {http://eudml.org/doc/287966},
volume = {053},
year = {2017},
}

TY - JOUR
AU - Bouzir, Habib
AU - Beldjilali, Gherici
AU - Belkhelfa, Mohamed
AU - Wade, Aissa
TI - Generalized Kählerian manifolds and transformation of generalized contact structures
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 1
SP - 35
EP - 48
AB - 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.
LA - eng
KW - product manifolds; trans-Sasakian manifolds; generalized Kählerian manifolds; generalized contact structures; transformation of generalized almost contact structures; generalized almost complex structures
UR - http://eudml.org/doc/287966
ER -

References

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