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Hypersurface homogeneous and hypersurface self-similar models
Classical and Quantum Gravity, 1997The field equation for hypersurface homogeneous models and hypersurface self-similar models in terms of variables associated with the symmetry surface are presented. In terms of these variables expressions are given for the kinematical quantities associated with the perfect fluid.
Nilsson, Ulf S., Uggla, Claes
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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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Unirational quartic hypersurfaces
2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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