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Displaying similar documents to “Geodesic surfaces in knot complements.”

Geodesies on typical convex surfaces

Peter Manfred Gruber (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Using Baire categories uniqueness of geodesic segments and existence of closed geodesics on typical convex surfaces are investigated.

The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2

Fatma Almaz, Mihriban A. Külahci (2024)

Commentationes Mathematicae Universitatis Carolinae

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Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the results of Clairaut's theorem on the hyperbolic surfaces of rotation and the elliptic surface of rotation, respectively.