“…In 1932, Hayden [10] defined a semi-symmetric metric connection on a Riemannaian manifold and Yano [17] developed it. Several authors such as Pravonovich [14], Agashe and Chafle [1], Liang [12] and Sengupta, De and Binh [16] introduced a semi-symmetric non-metric connection in different ways and this connection is studied by many authors [7,16,18], etc.... Recently, Chaubey and Ojha [4,5] defined a new type of semi-symmetric non-metric connection in an almost contact metric manifold.…”