A note on the index of closed minimal hypersurfaces of flat tori

Abstract

Generalizing earlier work by Ros in ambient dimension three, we prove an affine lower bound for the Morse index of closed minimal hypersurfaces inside a flat torus in terms of their first Betti number (with purely dimensional coefficients).

Final version, to appear in Proceedings of the American Mathematical Society

References in corpus (3)

• New applications of Min-max Theory
• Minimal surfaces - variational theory and applications
• Index and topology of minimal hypersurfaces in R^n