On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature

DOI10.4310/AJM.2013.v17.n1.a1zbMath1304.32024WikidataQ115206159 ScholiaQ115206159MaRDI QIDQ387406

Shu-Cheng Chang, Ting-Hui Chang

Publication date: 23 December 2013

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ajm/1383923433

zbMATH Keywords

CR manifoldsub-LaplacianFolland-Stein spacepseudoharmonic mappseudoharmonic map heat flowpseudohermitian geometrypseudohermitian torsion

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Other complex differential geometry (53C56) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (9)

Pseudo-harmonic maps from complete noncompact pseudo-Hermitian manifolds to regular balls ⋮ On subelliptic harmonic maps with potential ⋮ Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces ⋮ On the p-pseudoharmonic map heat flow ⋮ Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds ⋮ Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds ⋮ Liouville-type theorems for \(CC\)-\(F\)-harmonic maps into a Carnot group ⋮ Pseudo-harmonic maps from closed pseudo-Hermitian manifolds to Riemannian manifolds with nonpositive sectional curvature ⋮ Gradient estimate of positive eigenfunctions of sub-Laplacian on complete pseudo-Hermitian manifolds

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