Abstract. The aim of the present paper is to study generalized M -projective φ-recurrent trans-Sasakian manifold and its various geometric properties. First, we find the sufficient condition for generalized M -projective φ-recurrent trans-Sasakian manifold to become Einstein. Then non-existence of generalized M -projective φ-recurrent trans-Sasakian manifold has been shown under certain condition. Finally, the sufficient condition for super generalized Ricci-recurrent was also established.
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