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arXiv · 1303.5618

Eigenvalue estimates for submanifolds of warped product spaces

G. Pacelli Bessa·S. Carolina Garcia-Martinez·Luciano Mari·H. F. Ramirez-Ospina
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Abstract

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

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G. Pacelli Bessa, S. Carolina Garcia-Martinez, Luciano Mari, H. F. Ramirez-Ospina. 2013-03-22. Eigenvalue estimates for submanifolds of warped product spaces. https://doi.org/10.1017/s0305004113000443

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