\(L^p\) harmonic \(1\)-forms and first eigenvalue of a stable minimal hypersurface

DOI10.2140/pjm.2014.268.205zbMath1295.53067OpenAlexW2130236912MaRDI QIDQ2510066

Keomkyo Seo

Publication date: 31 July 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2014.268.205

zbMATH Keywords

stabilityLiouville type theoremminimal hypersurfacefirst eigenvalue\(L^p\) harmonic \(1\)-form

Mathematics Subject Classification ID

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

Related Items (9)

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ \(L^{p}\) harmonic 1-forms on submanifolds in spheres ⋮ Biharmonic maps and biharmonic submanifolds with small curvature integral ⋮ \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Vanishing properties of -minimal hypersurfaces in a complete smooth metric measure space ⋮ \(L^p\) 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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