On 4n-dimensional Lie groups as quasi-Kaehler manifolds with Killing Norden metric

TL;DR

This paper constructs a 4n-dimensional family of quasi-Kaehler manifolds with Killing Norden metrics on Lie groups, providing a geometric characterization of these structures.

Contribution

It introduces a new 4n-parameter family of quasi-Kaehler manifolds with Killing Norden metrics on Lie groups, expanding the understanding of their geometric properties.

Findings

Explicit construction of the family of manifolds

Geometric characterization of the family

Extension of quasi-Kaehler geometry on Lie groups

Abstract

A 4n-parametric family of 4n-dimensional quasi-Kaehler manifolds with Killing Norden metric is constructed on a Lie group. This family is characterized geometrically.