Geodesic
Linear connections on the framed distribution of hyperplane elements in a conformal space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 79-84

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We study the geometry of affine and normal connections induced by a complete normalization of mutually orthogonal distributions $\mathcal M$ and $\mathcal H$ in conformal space $C_n$, where $\mathcal M$ is a distribution of hyperplane elements, and $\mathcal H$ is a distribution of line elements. We consider invariant fields of pencils that are parallel with respect to the normal connection $\overset{0}{\nabla}{}^\bot$ along any curve belonging to the distribution $\mathcal M$.
Mots-clés : conformal space
Keywords: distribution of hyperplane elements, affine connection, normal connection. 
@article{IVM_2008_7_a8,
     author = {A. M. Matveeva},
     title = {Linear connections on the framed distribution of hyperplane elements in a conformal space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--84},
     publisher = {mathdoc},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_7_a8/}
}
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A. M. Matveeva. Linear connections on the framed distribution of hyperplane elements in a conformal space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 79-84. http://geodesic.mathdoc.fr/item/IVM_2008_7_a8/