On the geometry of nearly trans-Sasakian manifolds
نویسندگان
چکیده
The geometry of nearly trans-Sasakian manifolds is researched in this paper. complete group structural equations and the components Lee vector on space associated $G$-structure are obtained for such manifolds. Conditions found under which a structure trans-Sasakian, cosymplectic, closely Sasakian or Kenmotsu structure. conditions when special generalized second kind. A classification obtained, i.e. it proved that manifold either has closed contact form. It with nonclosed form homothetic to criterion ownership obtained. class coincides almost metric form, locally conformal cosymplectic Examples given. necessary sufficient integrability first fundamental distribution K\"ahler leaves induced.
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ژورنال
عنوان ژورنال: Turkish Journal of Mathematics
سال: 2023
ISSN: ['1303-6149', '1300-0098']
DOI: https://doi.org/10.55730/1300-0098.3417