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arxiv: 1303.5618 · v1 · pith:MGCG5W3Cnew · submitted 2013-03-22 · 🧮 math.DG

Eigenvalue estimates for submanifolds of warped product spaces

classification 🧮 math.DG
keywords submanifoldsminimalproductspaceswarpedboundseigenvalueessential
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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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