On a theorem of Fermi
Slavskii, Viktor V.
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 867-872 / Harvested from Czech Digital Mathematics Library
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Conformally flat metric $\bar g$ is said to be Ricci superosculating with $g$ at the point $x_0$ if $g_{ij}(x_0)=\bar g_{ij}(x_0)$, $\Gamma _{ij}^k(x_0)=\bar \Gamma _{ij}^k(x_0)$, $R_{ij}^k(x_0)=\bar R_{ij}^k(x_0)$, where $R_{ij}$ is the Ricci tensor. In this paper the following theorem is proved: \medskip {\sl If $\,\gamma $ is a smooth curve of the Riemannian manifold $M$ {\rm (}without self-crossing{\rm (}, then there is a neighbourhood of $\,\gamma $ and a conformally flat metric $\bar g$ which is the Ricci superosculating with $g$ along the curve $\gamma $.\/}

Publié le : 1996-01-01
Classification:  53A30,  53B20,  53C20 
@article{118894,
     author = {Viktor V. Slavskii},
     title = {On a theorem of Fermi},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {867-872},
     zbl = {0888.53030},
     mrnumber = {1440717},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118894}
}

Slavskii, Viktor V. On a theorem of Fermi. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 867-872. http://gdmltest.u-ga.fr/item/118894/

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