Transversal infinitesimal automorphisms on K\"ahler foliations
Seoung Dal Jung
TL;DR
This paper investigates the properties of infinitesimal automorphisms in K"ahler foliations on compact Riemannian manifolds, focusing on transversal conformal, projective, and holomorphic fields.
Contribution
It provides new insights into the behavior of transversal automorphisms and characterizes specific types of fields in the context of K"ahler foliations.
Findings
Characterization of transversal conformal fields
Analysis of transversal projective fields
Properties of transversally holomorphic fields
Abstract
Let F be a K\"ahler foliation on a compact Riemannian manifold M. we study the properties of infinitesimal automorphisms on (M,F), and in particular we concentrate on the transversal conformal field, transversal projective field and transversally holomorphic field
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems