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arxiv: 1410.0086 · v1 · pith:GR2HWCXJnew · submitted 2014-10-01 · 🧮 math.DG

CR rigidity of pseudo harmonic maps and pseudo biharmonic maps

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keywords pseudobiharmonicmapswillharmonicanaloguecharacterizedchen
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The CR analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with parallel pseudo mean curvature vector fields, will be characterized. Several examples of pseudo biharmonic maps will be given.

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