Index of compact minimal submanifolds of the Berger spheres

The stability and the index of compact minimal submanifolds of the Berger spheres Sτ2n+1,0<τ≤1, are studied. Unlike the case of the standard sphere (τ= 1), where there are no stable compact minimal submanifolds, the Berger spheres have stable ones if and only if τ2≤ 1 / 2. Moreover, there are no...

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Bibliographic Details
Main Authors: Torralbo, F. (Author), Urbano, F. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2022
Online Access:View Fulltext in Publisher