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On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index

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Publication:1765978
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zbMath1076.53074MaRDI QIDQ1765978

Oscar M. Perdomo

Publication date: 25 February 2005

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


zbMATH Keywords

scalar curvatureminimal hypersurfacestability index


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items

Stability index jump for constant mean curvature hypersurfaces of spheres ⋮ Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds ⋮ The Morse index of minimal products of minimal submanifolds in spheres ⋮ Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces



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