Harmonic maps of foliated Riemannian manifolds

DOI10.1007/s10711-012-9723-3zbMath1266.53030OpenAlexW2008369767MaRDI QIDQ1938044

Sorin Dragomir, Andrea Tommasoli

Publication date: 1 February 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-012-9723-3

zbMATH Keywords

foliationfoliated Riemannian manifold\(({\mathcal F},{\mathcal G})\)-harmonic map\(({\mathcal F},{\mathcal G})\)-harmonic morphismReeb follow

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Foliations (differential geometric aspects) (53C12)

Related Items (5)

Liouville type theorem for transversally harmonic maps ⋮ Liouville type theorem for \((\mathcal{F},\mathcal{F}')_p\)-harmonic maps on foliations ⋮ Levi harmonic maps of contact Riemannian manifolds ⋮ Transversally holomorphic maps between Kähler foliations ⋮ Proper holomorphic maps in harmonic map theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic maps to spheres
• On transversal infinitesimal automorphisms for harmonic foliations
• De Rham-Hodge theory for Riemannian foliations
• Transversal infinitesimal automorphisms for harmonic Kähler foliations
• A mapping of Riemannian manifolds which preserves harmonic functions
• Foliations on Riemannian manifolds
• Contact manifolds in Riemannian geometry
• Harnack sets and openness of harmonic morphisms
• On transversally holomorphic maps of Kählerian foliations
• Locally conformal Kähler geometry
• Generalized Hopf manifolds
• Total bending of vector fields on Riemannian manifolds
• Foliated harmonic mappings
• Differential geometry and analysis on CR manifolds
• Transversal harmonic transformations for Riemannian foliations
• Transversally symmetric Riemannian foliations
• ON TRANSVERSALLY HARMONIC MAPS OF FOLIATED RIEMANNIAN MANIFOLDS
• The Heat Equation for Riemannian Foliations
• TRANSVERSALLY BIHARMONIC MAPS BETWEEN FOLIATED RIEMANNIAN MANIFOLDS
• The Second Variation Formula for Harmonic Mappings
• A Report on Harmonic Maps
• Subelliptic harmonic maps
• Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds
• On Pseudohermitian Immersions Between Strictly Pseudoconvex CR Manifolds
• Transversally Harmonic Maps between Manifolds with Riemannian Foliations
• SOME REMARKS ON TRANSVERSALLY HARMONIC MAPS
• The basic Laplacian of a Riemannian foliation

This page was built for publication: Harmonic maps of foliated Riemannian manifolds