In order to study tensor fields of type (0,2) on manifolds and fibrations we introduce a new formalism that we called s-space. The s-spaces induced a one to one correspondence between the (0,2) tensor fields and some ...

We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.

We clarify the relation among canonical, metric and Belinfante's energy-momentum tensors for general tensor field theories. For any tensor field T, we define a new tensor field T̃ in terms of which metric and Belinfante's ...

This final paper will discuss the equations of James Clerk Maxwell (1865), or also the so-called unified theory of electromagnetic phenomena, which are a proper representation of the classical electromagnetic field. They ...

We present a scalar-tensor theory of gravity on a torsion-free and metric compatible Lyra manifold. This is obtained by generalizing the concept of physical reference frame by considering a scale function defined over the ...

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access ...

We discuss the electromagnetic energy-momentum distribution and the mechanical forces of the electromagnetic field in material media. There is a long-standing controversy on these notions. The Minkowski and the Abraham ...