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arXiv · 1306.1559

On the fundamental tone of immersions and submersions

Marcos Petrúcio Cavalcante·Fernando Manfio
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Abstract

In this paper we obtain lower bound estimates of the spectrum of Laplace-Beltrami operator on complete submanifolds with bounded mean curvature, whose ambient space admits a Riemannian submersion over a Riemannian manifold with negative sectional curvature. Our main theorem generalizes many previous known estimates and applies for both immersions and submersions.

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Marcos Petrúcio Cavalcante, Fernando Manfio. 2013-06-06. On the fundamental tone of immersions and submersions. https://arxiv.org/abs/1306.1559

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