
Let \(M^n\) be a compact, orientable hypersurface in an Euclidean spaces. A sufficient condition involving the scalar curvature, the mean curvature and the infimum of the sectional curvature of \(M^n\) is found enforcing that \(M^n\) is a sphere.
sectional curvature, scalar curvature, mean curvature, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
sectional curvature, scalar curvature, mean curvature, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
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