Biharmonic hypersurfaces in hemispheres

Início: 12/11/2020 17:00

Término: 12/11/2020 18:00

Palestrante: Matheus Vieira (Universidade Federal do Espírito Santo)

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Resumo: We consider the Balmuş -Montaldo-Oniciuc's conjecture in the case of hemispheres. We prove that a compact non-minimal biharmonic hypersurface in a hemisphere of $S^{n+1}$ must be the small hypersphere $S^n(1/sqrt2)$, provided that $n^2-H^2$ does not change sign.