TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS

DOI10.1017/S0004972711003431zbMath1268.53030arXiv1106.0358MaRDI QIDQ3143897

Seoung Dal Jung, Liu Hui-Li

Publication date: 6 December 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0358

zbMATH Keywords

Riemannian foliationtransversal curvaturetransversal conformal fieldtransversal Jacobi fieldtransversal holomorphic fieldtransversal Killing field

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Foliations (differential geometric aspects) (53C12)

Related Items (4)

Transversally holomorphic maps between Kähler foliations ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ The mean curvature of transverse Kähler foliations ⋮ Some remarks on Calabi-Yau and hyper-Kähler foliations

Cites Work

• Generalized Obata theorem and its applications on foliations
• Green's theorem on a foliated Riemannian manifold and its applications
• Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form
• Transversal infinitesimal automorphisms for harmonic Kähler foliations
• On conformal and projective transformations in Kählerian manifolds
• Infinitesimal automorphisms and second variation of the energy for harmonic foliations
• The basic component of the mean curvature of Riemannian foliations
• Riemannian foliations admitting transversal conformal fields
• On harmonic and Killing vector fields

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