Abstract

This article is review the first group of Cartan’s structure equations for certain classes of almost contact metric manifolds. These classes are divide into two collections, the first involve the irreducible classes such as cosymplectic class, Kenmotsu class, Sasakian class, - class, - class, and - class. The second include normal class of Killing type (CNK-class), nearly Kenmotsu class, - class, - class, nearly cosymplectic class, and Kenmotsu type class

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