For every m≥2, a closed connected minimally immersed hypersurface of the unit round sphere S^{m+1} with non-totally-geodesic image has volume at least that of the smallest m-dimensional minimal Clifford product.
For every m≥2, a closed connected minimally immersed hypersurface of the unit round sphere S^{m+1} with non-totally-geodesic image has volume at least that of the smallest m-dimensional minimal Clifford product.
For every m≥2, a closed connected minimally immersed hypersurface of the unit round sphere S^{m+1} with non-totally-geodesic image has volume at least that of the smallest m-dimensional minimal Clifford product.
If correct, resolves the least-volume conjecture for minimal hypersurfaces of round spheres in all dimensions.
Is the least non-equatorial minimal hypersurface volume attained at a Clifford product?
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