7 Results Found

This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten–van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introdu...

In this paper, we study Z-solitons and gradient Z-solitons on $\alpha$-cosymplectic manifolds. The soliton structure is defined by the generalized tensor $Z=S+\beta g$, where S denotes the Ricci tensor, g the metric tensor, and $\beta$ a smooth function....

The aim of this work is to demonstrate that all linear derivatives of the tensor algebra over a smooth manifold M can be viewed as specific cases of a broader concept—the operation of derivation. This approach reveals the universal role of diff...

Deliberate manipulation of topological defects is of particular interest for liquid crystal applications. For example, surface bistability occurs in the grating aligned Zenithal Bistable Device due to the stabilisation of ±½ defects at...

The motive of the current article is to study and characterize the geometrical and physical competency of the conharmonic curvature inheritance (Conh CI) symmetry in spacetime. We have established the condition for its relationship with both conforma...

Motivated by a ternary generalization of the Pauli exclusion principle proposed by R. Kerner, we propose a notion of a ${\mathbb{Z}}_3$-skew-symmetric covariant $\mathrm{SO}\left(3\right)$-tensor of the third order, consider it as a 3-dimensional matrix, and study the geometry of the 1...

Among the important differential equations on a Riemannian space $\left(M,g\right)$ of dimension n are the static perfect fluid equation (SPFE), namely $fRic-Hess\left(f\right)={\displaystyle \frac{1}{n}}\left(f\tau -\Delta f\right)g$, and the Fischer–Marsden equation (FME), namely $\left(\Delta f\right)g+fRic=$...