Geodesic
On invariant submanifolds of $S$-manifolds
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 30-38

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We consider invariant, pseudo-parallel and Ricci generalized pseudo-parallel submanifolds of $\mathcal{S}$-manifolds. We show that the submanifolds are totally geodesic under certain conditions. Also we study an invariant submanifold of $\mathcal{S}$-manifold satisfying $Q(\sigma,R)=0$ and $Q(S,\sigma)=0$, where $S$, $R$ and $\sigma$ are the Ricci tensor, curvature tensor and the second fundamental form respectively. 
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     author = {Fatiha Mahi and Mohamed Belkhelfa},
     title = {On invariant submanifolds of $S$-manifolds},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {30--38},
     publisher = {mathdoc},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2019_1_a2/}
}
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Fatiha Mahi; Mohamed Belkhelfa. On invariant submanifolds of $S$-manifolds. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 30-38. http://geodesic.mathdoc.fr/item/BASM_2019_1_a2/