VANISHING THEOREMS FOR HYPERSURFACES IN THE UNIT SPHERE
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DOI: 10.1017/s0017089517000350
Abstract: Abstract Let Mn, n ≥ 3, be a complete hypersurface in $\mathbb{S}$n+1. When Mn is compact, we show that Mn is a homology sphere if the squared norm of its traceless second fundamental form is… read more here.
Keywords: harmonic forms; vanishing theorems; hypersurfaces unit; theorems hypersurfaces ... See more keywords