# Results on para-Sasakian manifold admitting a quarter symmetric metric connection

## TL;DR

This paper investigates the geometric properties of para-Sasakian manifolds with quarter-symmetric metric connections, focusing on pseudosymmetry conditions, and provides explicit examples in 3 and 5 dimensions.

## Contribution

It introduces the study of pseudosymmetry conditions on para-Sasakian manifolds with quarter-symmetric metric connections and constructs explicit low-dimensional examples.

## Key findings

- Characterization of pseudosymmetric para-Sasakian manifolds with quarter-symmetric metric connections
- Explicit 3D and 5D examples verifying theoretical results
- Insights into curvature properties under these connections

## Abstract

In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian manifold admitting a quarter-symmetric metric connection to verify our results.