TRANSVERSALLY BIHARMONIC MAPS BETWEEN FOLIATED RIEMANNIAN MANIFOLDS

DOI10.1142/S0129167X08004972zbMath1160.53012OpenAlexW1986310550WikidataQ115246533 ScholiaQ115246533MaRDI QIDQ3542822

Yuan-Jen Chiang, Robert A. Wolak

Publication date: 1 December 2008

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x08004972

zbMATH Keywords

transversal bi-energyfoliated Riemann manifoldstransversal bi-tension fieldtransversally biharmonic mapstransversally harmonic maps

Mathematics Subject Classification ID

Heat equation (35K05) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12)

Related Items

Liouville type theorem for transversally harmonic maps, Global existence and lifespan of smooth solutions of biwave maps, Variation formulas for transversally harmonic and biharmonic maps, Some properties of biwave maps, Harmonic maps of foliated Riemannian manifolds, Transversal wave maps and transversal exponential wave maps, Equivariant biharmonic maps between manifolds with metrics of signature, Biharmonic submanifolds of \({\mathbb{C}\mathbb{P}^n}\), Biwave maps into manifolds

Cites Work

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• A Report on Harmonic Maps
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• Harmonic Mappings of Riemannian Manifolds
• Biharmonic maps on V-manifolds