Conformal vector fields on LCP manifolds
Brice Flamencourt, Andrei Moroianu
TL;DR
This paper investigates conformal vector fields on compact locally conformally product manifolds, revealing their orthogonality to the flat distribution and their Killing property relative to the Gauduchon metric.
Contribution
It establishes new geometric properties of conformal vector fields on LCP manifolds, specifically their orthogonality and Killing nature.
Findings
Conformal vector fields are orthogonal to the flat distribution.
Such vector fields are Killing with respect to the Gauduchon metric.
Results apply to compact LCP manifolds.
Abstract
We show that conformal vector fields on compact locally conformally product manifolds are orthogonal to the flat distribution and Killing with respect to the Gauduchon metric.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows · Advanced Topics in Algebra