Totally umbilical CMC hypersurfaces of a conformally recurrent manifold


It has been shown that a non-degenerate totally umbilical constant mean curvature hypersurface of a conformally recurrent pseudo Riemannian manifold is conformally recurrent.

DOI Code: 10.1285/i15900932v20n2p89

Keywords: Totally umbilical hypersurface; Constant mean curvature; Conformally recurrent

Classification: 53B20; 53B25

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