Transversality of holomorphic maps into hyperquadrics. [PDF]
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Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
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Hypersurfaces with Congruent Geodesics
Mathematische Nachrichten, 1992It is the purpose of this paper to prove the following theorem: Let \(M\) be a compact hypersurface of a complete, simply connected space \(N\) of constant curvature, and suppose that all geodesics of \(M\) are congruent in \(N\). Then \(M\) is an extrinsic sphere of positive curvature. The article contains many nice geometric ideas.
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