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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IVM_2008_6_a7,
     author = {T. N. Glukhova},
     title = {Normal connections induced by a framed hypersurface in the conformal space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--84},
     publisher = {mathdoc},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_6_a7/}
}
TY  - JOUR
AU  - T. N. Glukhova
TI  - Normal connections induced by a framed hypersurface in the conformal space
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 79
EP  - 84
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_6_a7/
LA  - ru
ID  - IVM_2008_6_a7
ER  - 
%0 Journal Article
%A T. N. Glukhova
%T Normal connections induced by a framed hypersurface in the conformal space
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 79-84
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2008_6_a7/
%G ru
%F IVM_2008_6_a7
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/