PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 34(48), pp. 147150 (1983) 

THE $(\psi,\xi,\eta,\overline g)$ SUBSPACES OF THE SPACE WITH THE $\varphi(4,2)$ STRUCTUREJovanka Niki\'cTehnicki fakultet, Novi Sad, YugoslaviaAbstract: 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\,$\varphi=n1$. The structure $\Phi=2\varphi1$ 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 $K^*$). Keywords: Almost product structure, structure Sato, hypersurface, restriction of the structure, almost paracontact Riemannian structure Classification (MSC2000): 53C10, 53C15, 53C40, 51H20 Full text of the article:
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