Исследования и отчеты по математике

A Simpler Proof of the Characterization of Quadric CMC Hypersurfaces in Sn+1

Aquino CP and De Lima HF

In this short article, we present a new and simpler proof of a characterization of the quadric constant mean curvature hypersurfaces of the Euclidean sphere Sⁿ⁺¹, originally due to Alias, Brasil and Perdomo.