Foliations with complex leaves and instability for harmonic foliations

2005/01/31 by K. Ichikawa, Kazuki ICHIKAWA, Ichikawa, K. +3
Mathematics · Physics and Astronomy · #53C12 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C12

paper · pdf · doi:10.48550/arxiv.math/0501543

12pages

arxiv created 2005/01/31 · openalex publication_date 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study stability for harmonic foliations on locally conformal Kähler manifolds with complex leaves. We also discuss instability for harmonic foliations on compact submanifolds immersed in Euclidean spaces and compact homogeneous spaces.

Related

• Smooth foliations on homogeneous compact Kähler manifolds
• Stable foliations with respect to Fuglede modulus and level sets of\n p--harmonic functions
• Foliations with geometric structures
• Conformal foliations, Kähler twists and the Weinstein construction
• Center-unstable foliations do not have compact leaves