Stable minimal hypersurfaces in a Riemannian manifold with pinched negative sectional curvature

DOI10.1007/s10455-011-9293-xzbMath1242.53073arXiv1106.0693OpenAlexW1982629390WikidataQ115384601 ScholiaQ115384601MaRDI QIDQ766127

Nguyen Thac Dung, Keomkyo Seo

Publication date: 23 March 2012

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0693

zbMATH Keywords

stabilityminimal hypersurfacefirst eigenvalue

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (7)

Weighted volume growth and vanishing properties of \(f\)-minimal hypersurfaces in a weighted manifold ⋮ \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold ⋮ \(L^p\) harmonic 1-forms on minimal hypersurfaces with finite index ⋮ Liouville-type theorems for weighted \(p\)-harmonic 1-forms and weighted \(p\)-harmonic maps ⋮ \(L^p\) harmonic 1-forms on totally real submanifolds in a complex projective space

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