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On the estimates of warping functions on isometric immersions

Differential Geometry 2019-03-04 v2

Abstract

Using the results of \cite{P1}, we get some estimates of warping functions for isometric immersions by changing the target manifolds by some types of Riemannian manifolds: constant space forms and Hermitian symmetric spaces. And we deal with equality cases and obtain their applications. Finally, we give some open problems.

Keywords

Cite

@article{arxiv.1808.09221,
  title  = {On the estimates of warping functions on isometric immersions},
  author = {Kwang-Soon Park},
  journal= {arXiv preprint arXiv:1808.09221},
  year   = {2019}
}

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16 pages