ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION

Title & Authors
ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION
Ahmad, Mobin; Haseeb, Abdul; Jun, Jae-Bok; Rahman, Shamsur;

Abstract
In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter symmetric connections, even some of them are not introduced so far. So, in this paper, we define a quarter symmetric semi-metric connection in an almost r-paracontact Riemannian manifold and consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold with that connection.
Keywords
almost r-paracontact Riemannian manifold;quarter-symmetric semi-metric connection;
Language
English
Cited by
1.
$$\textit{CR}$$ CR -submanifolds and $$\textit{CR}$$ CR -products of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric semi-metric connection, Afrika Matematika, 2014, 25, 4, 1113
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