The complete group of structural equations for a nearly Kähler manifold

Madyan nadhim wakaa kdhawe; UFUK ÖZTÜRK; A. A.Shihab

Authors

Madyan nadhim wakaa kdhawe Department of Mathematics, Faculty of Sciences, Çankırı Karatekin University, 18100 Çankırı, Turkey
UFUK ÖZTÜRK Assoc . Prof . UFUK ÖZTÜRK, Department of Mathematics, Faculty of Sciences, Çankırı Karatekin University, 18100 Çankırı, Turkey
A. A.Shihab Department of Mathematics, College of Education for Pure Sciences, University of Tikrit,Iraq- Salahaddin Tikrit

Keywords:

G-structure, structure equations, nearly Kähler manifold, Riemannian metric, almost complex structure

Abstract

We consider almost complex and almost Hermitian structures and their associated G - structures. It is proved that the definition of a complex structure on a real linear space is equivalent to the decomposition of its complexification into a direct sum of two complex conjugate subspaces that serve as proper subspaces of this complex structure. It is proved that on every almost complex manifold there exists an almost Hermitian structure.