On Some Properties of Semi-Invariant Submanifolds of a Nearly Trans-Sasakian Manifold Admitting a Quarter-Symmetric Non-Metric Connection

Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

“…On the other hand, Hayden [3] deserves recognition for popularizing the understanding of a metric connection on a Riemannian manifold. Several geometers have studied the features of Riemannian manifolds with non-metric and semi-symmetric (symmetric) connections ( [4][5][6]). Golab [7] discussed the fundamental concept of quarter-symmetric linear connection.…”

On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold

“…where D 1 and D 0 are the projection operators of TM on D 1 and D 0 , respectively. A semi-invariant submanifold of an almost contact metric manifold becomes an invariant submanifold ( [2], [11]) (resp. anti-invariant submanifold ( [2], [11]) if…”

“…A semi-invariant submanifold of an almost contact metric manifold becomes an invariant submanifold ( [2], [11]) (resp. anti-invariant submanifold ( [2], [11]) if…”

Semi-invariant submanifolds of a Kenmotsu manifold with a generalized almost r-contact structure admitting a semi-symmetric metric connection

“…On the other hand, A. Bejancu, introduced the notion of semi-invariant submanifolds [6] or contact CR-submanifolds [5], as a generalization of invariant and anti-invariant submanifolds of an almost contact metric manifold and was followed by several geometers in [1,2,4,7,11,12]. Semi-invariant submanifolds of a Kenmotsu manifold immersed in a generalized almost r-contact metric structure was defined and studied by R. Nivas and S. Yadav [13].…”