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On transversally harmonic maps of foliated Riemannian manifolds

Differential Geometry 2011-09-20 v1

Abstract

We study the transversally harmonic maps between foliated Riemannian manifolds. In particular, we prove that under some curvature conditions, any transversally harmonic map is transversally totally geodesic.

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Cite

@article{arxiv.1109.3932,
  title  = {On transversally harmonic maps of foliated Riemannian manifolds},
  author = {Min Joo Jung and Seoung Dal Jung},
  journal= {arXiv preprint arXiv:1109.3932},
  year   = {2011}
}

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19pages