Nearly Cosymplectic Manifolds of Constant Type

Axioms

Aligadzhi Rustanov¹ 

[1] Department of Higher Mathematics, Institute of Digital Technologies and Modeling in Construction, National Research Moscow State University of Civil Engineering, 129337 Moscow, Russia;

关键词: nearly cosymplectic structure;    nearly Kähler structure;    type constancy;    cosymplectic manifold;    structure tensor;   

DOI  :  10.3390/axioms11040152

来源: DOAJ

【 摘 要 】

Fundamental identities characterizing a nearly cosymplectic structure and analytical expressions for the first and second structural tensors are obtained in this paper. An identity that is satisfied by the first structural tensor of a nearly cosymplectic structure is proved as well. A contact analog of nearly cosymplectic manifolds’ constancy of type is introduced in this paper. Pointwise constancy conditions of the type of nearly cosymplectic manifolds are obtained. It is proved that for nearly cosymplectic manifolds of dimension greater than three, pointwise constancy of type is equivalent to global constancy of type. A complete classification of nearly cosymplectic manifolds of constant type is obtained. It is also proved that a nearly cosymplectic manifold of dimension less than seven is a proper nearly cosymplectic manifold.

【 授权许可】

Unknown