On three-parametric Lie groups as quasi-Kaehler manifolds with Killing Norden metric
Mancho Manev, Kostadin Gribachev, Dimitar Mekerov
TL;DR
This paper constructs a three-parameter family of 6-dimensional quasi-Kaehler manifolds with Norden metric on Lie groups, providing geometric characterization and conditions for isotropic Kaehler structure.
Contribution
It introduces a new three-parametric family of quasi-Kaehler manifolds with Norden metric on Lie groups and characterizes their geometric properties.
Findings
Explicit construction of the 3-parametric family
Geometric characterization of the manifolds
Condition for isotropic Kaehler structure
Abstract
A 3-parametric family of 6-dimensional quasi-Kaehler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically. The condition for such a 6-manifold to be isotropic Kaehler is given.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Bone health and treatments