Affiliation:
1. Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq.
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
Publisher
College of Education for Pure Science, University of Basrah
Reference19 articles.
1. V.F. Kirichenko, "Differential-Geometric Structures on Manifolds", Pechatnyy dom, Odessa, (2013). (in Russian)
2. D. Chinea, C. Gonzalez, Annali di Matematica Pura ed Applicata 156(1), 15 (1990). Doi: https://doi.org/10.1007/BF01766972
3. E.S. Volkova, Mathematical Notes 6(3), 296 (1997). Doi: https://doi.org/10.1007/BF02360870
4. S.V. Umnova, "Geometry of Kenmotsu manifolds and their generalizations", PhD thesis, Moscow State Pedagogical University, Moscow, (2002). (in Russian).
5. N.N. Dondukova, "Geodesic transformations of almost contact metric manifolds", PhD thesis, Moscow State Pedagogical University, Moscow, (2006). (in Russian)