Submitted:
23 June 2026
Posted:
09 July 2026
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Abstract
This article investigates generalized trans-Sasakian manifolds and their rich geometric structure. We present a method for constructing two additional almost contact metric structures from a given generalized trans-Sasakian manifold. A complete classification of these structures is obtained through the study of their integrability and normality properties. We further examine these structures when they are realized as real hypersurfaces of complex space forms. Several existence and non-existence results are established.
Keywords:
generalized trans-Sasakian manifold
; almost contact metric structure
; real hypersurface
; complex space form
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