Mohammad Nazrul Islam Khan
Published 2020-08-16Version 1
In this article, we study higher-order complete lifts of the tensor field of type (1,1) and find some theorems on Nijenhuis tensor. We also consider an almost complex structure on complex manifold M and defined extended almost complex structures on ^kM. Moreover, we study Lie derivative concerning higher-order lifts and find some basic results on the almost analytic complex vector concerning an extended almost complex structure on ^kM.
Remarks on the geometry of almost complex 6-manifolds
Connected sums of almost complex manifolds
Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces
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