Nieuwenhuistensor of almost complex structure

Ahmed Thamer Abd Ali; Ufuk Öztürk; A. A. Shihab

Authors

Ahmed Thamer Abd Ali 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, Turkeye
A. A. Shihab Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Iraq- Salahaddin Tikrit

Keywords:

Adjointg -structure, complex structure, almost complex structure, Nijenhuis tensor

Abstract

In this work, complex structures are considered, we build two bases: RA -basis and A - basis. We also define an almost complex structure and its adjointG -structure. We define locally the Nijenhuis tensor of an almost complex structure, prove that this tensor is defined globally, and obtain an explicit expression for this tensor.