Harmonic maps and strictly pseudoconvex CR manifolds.

DOI10.4310/CAG.2002.v10.n3.a5zbMath1038.58016OpenAlexW2620978074MaRDI QIDQ1866524

Robert Petit

Publication date: 7 April 2003

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2002.v10.n3.a5

zbMATH Keywords

rigidityharmonic mapsSasakian manifoldsstrictly pseudoconvex CR manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Harmonic maps, etc. (58E20) CR manifolds (32V99)

Related Items (18)

SEIBERG-WITTEN-LIKE EQUATIONS ON THE STRICTLY PSEUDOCONVEX CR-3 MANIFOLDS ⋮ Almost-formality and deformations of representations of the fundamental groups of Sasakian manifolds ⋮ On the asymptotic expansions of the proper harmonic maps between balls in Bergman metrics ⋮ Liouville theorem for pseudoharmonic maps from Sasakian manifolds ⋮ Subelliptic biharmonic maps ⋮ Levi harmonic maps of contact Riemannian manifolds ⋮ ON HARMONIC AND PSEUDOHARMONIC MAPS FROM PSEUDO-HERMITIAN MANIFOLDS ⋮ Proper holomorphic maps in harmonic map theory ⋮ Pseudoharmonic maps and vector fields on \(CR\) manifolds ⋮ \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds ⋮ An immersion theorem for Vaisman manifolds ⋮ On formality of Sasakian manifolds ⋮ Higgs bundles and flat connections over compact Sasakian manifolds ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ Exponentially subelliptic harmonic maps from the Heisenberg group into a sphere ⋮ Contact harmonic maps ⋮ Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces ⋮ CR-analogue of the Siu-∂\overline{∂}-formula and applications to the rigidity problem for pseudo-Hermitian harmonic maps

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