In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and scalar curvature (i.e., extrinsic intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like manifolds, endowed with a semi-symmetric metric connection. Moreover, study satisfying equality cases these inequalities. We also present an appropriate example.

In this paper, we introduce some inequalities for screen homothetic half lightlike submanifolds of a real space form constant sectional curvature , endowed with semi-symmetric metric connection. Using these inequalities, derive characterizations such submanifolds. Finally, Chen-Ricci are calculated. Morever, the equality cases considered and get results.

In this paper, we prove the DDVV conjecture for a slant submanifold in metallic Riemannian space forms with semi-symmetric metric connection. The equality case of derived inequality is discussed, and some special cases are given.

In Eddington gravity, the action principle involves only symmetric parts of connection and Ricci tensor, with a metric that emerges proportionally to latter. Here, we relax this character, prolong antisymmetric term, allow for various couplings scalar fields. We propose two possible invariant actions formed by distinct combinations independent tensors show generated must involve an additional p...

this study is an investigation of fuzzy linear regression model for crisp/fuzzy input and fuzzy output data. a least absolutes deviations approach to construct such a model is developed by introducing and applying a new metric on the space of fuzzy numbers. the proposed approach, which can deal with both symmetric and non-symmetric fuzzy observations, is compared with several existing models by...

We systematically study the field equations of $f(\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well flat torsionless affine connection. In Symmetric Teleparallel Equivalent GR (STEGR), connection is pure gauge hence unphysical. However, in non-linear extension $f(\Q)$, it promoted to dynamical which changes p...

Abstract We continue our study of the mixed Einstein–Hilbert action as a functional pseudo-Riemannian metric and linear connection. Its geometrical part is total scalar curvature on smooth manifold endowed with distribution or foliation. develop variational formulas for quantities extrinsic geometry metric-affine space use them to derive Euler–Lagrange equations (which in case space-time are an...

we classify the paracontact riemannian manifolds that their rieman-nian curvature satisfies in the certain condition and we show that thisclassification is hold for the special cases semi-symmetric and locally sym-metric spaces. finally we study paracontact riemannian manifolds satis-fying r(x, ξ).s = 0, where s is the ricci tensor.

The paper undertakes certain special forms of the quarter symmetric metric and non-metric connections on an ε-anti-Kähler manifold. Firstly, we deduce relation between Riemannian connection connections. Then, present some results concerning torsion tensors these In addition, find curvature tensor, Ricci tensor scalar such search conditions for manifold to be Einstein space with respect Finally,...