ON TRANSVERSALLY HARMONIC MAPS OF FOLIATED RIEMANNIAN MANIFOLDS

DOI10.4134/JKMS.2012.49.5.977zbMath1255.53023arXiv1109.3932OpenAlexW2962717317WikidataQ115215808 ScholiaQ115215808MaRDI QIDQ2914421

Min Joo Jung, Seoung Dal Jung

Publication date: 19 September 2012

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

Full work available at URL: https://arxiv.org/abs/1109.3932

zbMATH Keywords

harmonic maptransversally harmonic mapgeneralized Weitzenböck type formulanormal variation formulatransversal tensor field

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Foliations (differential geometric aspects) (53C12) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Liouville type theorem for transversally harmonic maps ⋮ Variation formulas for transversally harmonic and biharmonic maps ⋮ Liouville type theorem for \((\mathcal{F},\mathcal{F}')_p\)-harmonic maps on foliations ⋮ Harmonic maps of foliated Riemannian manifolds ⋮ A generalization of the Schwarz lemma for transversally harmonic maps ⋮ Transversally holomorphic maps between Kähler foliations

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