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Eigenvalue estimates for submanifolds of warped product spaces

Differential Geometry 2014-01-14 v1

Abstract

We give lower bounds for the fundamental tone of open sets in minimal submanifolds immersed into warped product spaces of type Nn×fQqN^n \times_f Q^q, where fC(N)f \in C^\infty(N). We also study the essential spectrum of these minimal submanifolds.

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Cite

@article{arxiv.1303.5618,
  title  = {Eigenvalue estimates for submanifolds of warped product spaces},
  author = {G. Pacelli Bessa and S. Carolina Garcia-Martinez and Luciano Mari and H. F. Ramirez-Ospina},
  journal= {arXiv preprint arXiv:1303.5618},
  year   = {2014}
}

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17 pages