Lie Groups as Four-Dimensional Special Complex Manifolds with Norden Metric
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 154-159
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
An example of a four-dimensional special complex manifold with Norden metric of
constant holomorphic sectional curvature is constructed via a two-parametric family
of solvable Lie algebras. The curvature properties of the obtained manifold are studied. Necessary and sufficient conditions for the manifold to be isotropic Kählerian are given. *2000 Mathematics Subject Classification: 53C15, 53C50.
Keywords:
Almost Complex Manifold, Norden Metric, Lie Group, Lie Algebra
@incollection{MEM_2010_39_1_a13,
author = {Teofilova, Marta},
title = {Lie {Groups} as {Four-Dimensional} {Special} {Complex} {Manifolds} with {Norden} {Metric}},
booktitle = {},
series = {Mathematics and Education in Mathematics},
pages = {154--159},
year = {2010},
volume = {39},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a13/}
}
Teofilova, Marta. Lie Groups as Four-Dimensional Special Complex Manifolds with Norden Metric. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a13/