@misc{10481/74448,
year = {2022},
month = {3},
url = {http://hdl.handle.net/10481/74448},
abstract = {The stability and the index of compact minimal submanifolds of the Berger spheres S2n+1τ,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 stable compact minimal d-dimensional submanifolds of S2n+1τ when 1/(d+1)<τ2≤1 and the stable ones are classified for τ2=1/(d+1) when the submanifold is embedded. Finally, the compact orientable minimal surfaces of S3τ with index one are classified for 1/3≤τ2≤1.},
organization = {Project PID2019.111531GA.I00
funded by MCIN/AEI/10.13039/501100011033},
organization = {Programa Operativo FEDER
Andalucía 2014-2020, grant no. E-FQM-309-UGR18},
organization = {Regional J. Andalucía grant no. P18-FR-4049},
keywords = {Differential geometry},
title = {Index of compact minimal submanifolds of the Berger spheres},
doi = {10.1007/s00526-022-02215-6},
author = {Torralbo Torralbo, Francisco and Urbano Pérez-Aranda, Francisco},
}