Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On invariant submanifolds of S-manifolds
Authors: F. Mahi, M. Belkhelfa
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Abstract
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.F. Mahi
Department of Exact Sciences, ENS of Mostaganem
Mostaganem 27000, Algeria
E-mail:
M. Belkhelfa
Laboratory L. P. Q. 3M, Mustapha Stambouli University
Mascara 29000, Algeria
E-mail:
Department of Exact Sciences, ENS of Mostaganem
Mostaganem 27000, Algeria
E-mail:
M. Belkhelfa
Laboratory L. P. Q. 3M, Mustapha Stambouli University
Mascara 29000, Algeria
E-mail:
Fulltext
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Contents
- Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
- n-Torsion Regular Rings
- On invariant submanifolds of S-manifolds
- On fully idempotent semimodules
- On generalization of the notion of Moufang loop to n-ary case
- Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
- On the number of topologies on countable fields
- Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
- A note on almost contact metric 2- and 3-hypersurfaces in W_4-manifolds
- Morita contexts and closure operators in modules
- Examples of bipartite graphs which are not cyclically-interval colorable
- Academician Vladimir Arnautov 80th anniversary
