More on the Triplet Killing Potentials of Quaternionic Kaehler Manifolds
Shogo Aoyama
TL;DR
This paper investigates the properties of triplet Killing potentials in quaternionic Kähler manifolds, providing new insights and explicit calculations for specific manifolds using metric formulas.
Contribution
It introduces new properties of triplet Killing potentials and computes them explicitly for the Sp(n+1)/Sp(n)×Sp(1) quaternionic Kähler manifold.
Findings
Properties of triplet Killing potentials are established.
Explicit computation for Sp(n+1)/Sp(n)×Sp(1) is provided.
The metric formula approach is used for analysis.
Abstract
We show the properties of the triplet Killing potentials of quaternionic Kaehler manifolds which have been missing in the literature. It is done by means of the metric formula of the manifolds. We compute the triplet Killing potentials for the quaternionic Kaehler manifold Sp(n+1)/Sp(n)xSp(1) as an illustration.
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