A sharp upper bound for the first eigenvalue of the Laplacian of compact hypersurfaces in rank-1 symmetric spaces

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dc.creatorSanthanam, G.
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:24Z
dc.date.available2026-07-07T08:31:24Z
dc.descriptionLet $M$ be a closed hypersurface in a simply connected rank-1 symmetric space $\olm$. In this paper, we give an upper bound for the first eigenvalue of the Laplacian of $M$ in terms of the Ricci curvature of $\olm$ and the square of the length of the second fundamental form of the geodesic spheres with center at the center-of-mass of $M$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0709.3349
dc.identifierhttp://arxiv.org/abs/0709.3349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138493
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C40, 53C42, 53C20
dc.titleA sharp upper bound for the first eigenvalue of the Laplacian of compact hypersurfaces in rank-1 symmetric spaces
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