Geodesic
Normal connections induced by a framed hypersurface in the conformal space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2008), pp. 79-84.

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We find two normal connections induced by the normal framing of a hypersurface $V_{n-1}$ in the conformal space $C_n$, and establish relationship between these connections and a Weyl connection which is also induced by the normal framing of $V_{n-1}$. We study two normal connections induced by a complete framing of a hypersurface $V_{n-1}$ in $C_n$. We establish relationship between geometries of a framed hypersurface $V_{n-1}$ of the conformal space $C_n$ and a quadratic hyperband of the projective space $\mathrm P_{n+1}$ associated with $V_{n-1}$.
Mots-clés : conformal space
Keywords: normally framed hypersurface, tangentially framed hypersurface, complete framing of hypersurface, flat connection, semi-flat connection. 
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T. N. Glukhova. Normal connections induced by a framed hypersurface in the conformal space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2008), pp. 79-84. http://geodesic.mathdoc.fr/item/IVM_2008_6_a7/

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