On the metallic structure on differentiable manifolds

Mohammad Nazrul Islam Khan; Manisha Kankarej

doi:10.56424/jts.v15i01.10616

Mohammad Nazrul Islam Khan Department of Computer Engineering, College of Computer, Qassim University, Buraydah, Saudi Arabia.
Manisha Kankarej Department of Natural Sciences and Public Health Zayed University, Dubai, United Arab Emirates

DOI: https://doi.org/10.56424/jts.v15i01.10616

Keywords: Metallic structure, Almost product structure, Nijenhuis tensor, Projection tensor.

Abstract

This paper aims to study the metallic structure on a differentiable manifold M and obtain the metallic structure that acts on complementary distribution DL as an almost product structure and complementary distribution DM as the null operator. Some calculations on the Nijenhuis tensor of the metallic structure on M are determined.