Geodesic
The (psi,xi,eta,g) Subspaces of the Space with the Phi(4,-2) Structure
Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 147

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let a tensor field $\varphi$, $\varphi\not=0$, $\varphi\not=1$, of type (1,1) and of class $C^\infty$ be given on $M^n$ such that $\varphi^4-\varphi^2=0$, and rank $\varphi=n-1$. The structure $\Phi=2\varphi-1$ is an almost product structure. $\Phi$ induces on hypersurface $K$ a Sato structure. In this paper it is proved that the structure Sato $\psi$ induced by $\Phi$ on $K^*$ is equal to the $\overline\varphi$. ($\overline\varphi$ is the restriction of the structure $\varphi$ on $K^*$).
Classification : 53C10 53C15 53C40 51H20
Keywords: Almost product structure, structure Sato, hypersurface, restriction of the structure, almost paracontact Riemannian structure 
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     author = {Jovanka Niki\'c},
     title = {The (psi,xi,eta,g) {Subspaces} of the {Space} with the {Phi(4,-2)} {Structure}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {147 },
     publisher = {mathdoc},
     volume = {_N_S_34},
     number = {48},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a22/}
}
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Jovanka Nikić. The (psi,xi,eta,g) Subspaces of the Space with the Phi(4,-2) Structure. Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 147 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a22/