A SCHWARZ LEMMA FOR -HARMONIC MAPS AND THEIR APPLICATIONS

DOI10.1017/S000497271700051XzbMath1378.58012OpenAlexW2748391799WikidataQ124984389 ScholiaQ124984389MaRDI QIDQ4589169

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Publication date: 7 November 2017

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

Full work available at URL: https://doi.org/10.1017/s000497271700051x

zbMATH Keywords

Schwarz lemmaholomorphic map\(V\)-harmonic mapalmost Hermitian manifoldOmori-Yau maximum principle

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Harmonic maps, etc. (58E20) Almost complex manifolds (32Q60)

Related Items (6)

A volume decreasing theorem for V-harmonic maps and applications ⋮ Schwarz type lemmas for pseudo-Hermitian manifolds ⋮ A generalization of the Schwarz lemma for transversally harmonic maps ⋮ A Schwarz lemma and a Liouville theorem for generalized harmonic maps ⋮ Holomorphic maps into almost Kähler manifolds with constrained energy density ⋮ A Schwarz-Pick lemma for minimal maps

Cites Work

• A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
• Rigidity of self-shrinkers and translating solitons of mean curvature flows
• A general Schwarz lemma for almost-Hermitian manifolds
• Mappings of almost Hermitian manifolds
• Mappings of bounded dilatation of Riemannian manifolds
• Geometry of harmonic maps
• Minimal varieties and almost Hermitian submanifolds
• A General Schwarz Lemma for Kahler Manifolds
• On pseudo-harmonic maps in conformal geometry
• Holomorphic mappings of complex manifolds
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