The paper gives a complete Weyl tensor description for 4D hypersurfaces yielding a new isoparametric characterization, plus sharp Euler-characteristic bounds on the Weyl functional and second fundamental form norm for minimal constant-scalar-curvature cases in space forms.
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Topological and rigidity results for four-dimensional hypersurfaces in space forms
The paper gives a complete Weyl tensor description for 4D hypersurfaces yielding a new isoparametric characterization, plus sharp Euler-characteristic bounds on the Weyl functional and second fundamental form norm for minimal constant-scalar-curvature cases in space forms.