Some properties of para-Kähler-Walker metrics

Mustafa Özkan, and Murat İşcan. "Some properties of para-Kähler-Walker metrics." Annales Polonici Mathematici 112.2 (2014): 115-125. <http://eudml.org/doc/280873>.

@article{MustafaÖzkan2014,
abstract = {A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions.},
author = {Mustafa Özkan, Murat İşcan},
journal = {Annales Polonici Mathematici},
keywords = {Walker 4-manifolds; almost paracomplex structure; symplectic structures; para-Kähler metrics},
language = {eng},
number = {2},
pages = {115-125},
title = {Some properties of para-Kähler-Walker metrics},
url = {http://eudml.org/doc/280873},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Mustafa Özkan
AU - Murat İşcan
TI - Some properties of para-Kähler-Walker metrics
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 2
SP - 115
EP - 125
AB - A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions.
LA - eng
KW - Walker 4-manifolds; almost paracomplex structure; symplectic structures; para-Kähler metrics
UR - http://eudml.org/doc/280873
ER -