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| On ∂b-Harmonic Maps from Pseudo-Hermitian Manifolds to Kähler Manifolds |
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Citation： |
Yuxin DONG,Hui LIU,Biqiang ZHAO.On ∂b-Harmonic Maps from Pseudo-Hermitian Manifolds to Kähler Manifolds[J].Chinese Annals of Mathematics B,2026,(1):229~250 |
| Page view： 184
Net amount： 95 |
Authors： |
Yuxin DONG; Hui LIU;Biqiang ZHAO |
Foundation： |
the National Natural Science Foundation of China (No. 12171091) and the
China Scholarship Council (No. 202306100156) |
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| Abstract： |
The authors introduce the notion of ??b-harmonic maps from strictly pseudoconvex CR manifolds to K?hler manifolds. They derive the Euler–Lagrange equation and establish a Bochner-type formula. Under curvature assumptions on both domain and target, they prove Liouville-type theorems and rigidity results. The work bridges CR geometry and harmonic map theory in the sub-Riemannian setting. |
Keywords： |
Pseudo-Hermitian manifold ∂b-Harmonic maps Foliated CR map |
Classification： |
53C25, 58E20 |
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