English

CR rigidity of pseudo harmonic maps and pseudo biharmonic maps

Differential Geometry 2014-10-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1410.0086,
  title  = {CR rigidity of pseudo harmonic maps and pseudo biharmonic maps},
  author = {Hajime Urakawa},
  journal= {arXiv preprint arXiv:1410.0086},
  year   = {2014}
}

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39 pages