@article{Kumar2025, 
author = {Rajesh Kumar and Laltluangkima Chawngthu and Oğuzhan Bahadır and Md Aquib},
title = {Geometric aspects of weakly symmetric and almost pseudo symmetric    K-contact manifolds admitting a non-symmetric non-metric connection},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {8},
pages = {18232-18251},
keywords = {non-symmetric non-metric connection, Levi-Civita connection, curvature tensors, K-contact manifold, weakly symmetric},
url = {https://www.sciopen.com/article/10.3934/math.2025814},
doi = {10.3934/math.2025814},
abstract = {In this paper, we explore the conditions for several geometric structures-specifically, weakly symmetric, weakly Ricci symmetric, almost pseudo symmetric, and almost pseudo Ricci symmetric–on a    K-contact manifold equipped with a non-symmetric non-metric connection. We present key theoretical results that characterize these structures in the context of such a connection. To illustrate the applicability of our findings, we construct an explicit example of a 3-dimensional    K-contact manifold with a non-symmetric non-metric connection. This example not only confirms the validity of the derived conditions but also offers a concrete model for further investigation in the field. Our results extend the understanding of geometric structures on    K-contact manifolds beyond the classical framework of the Levi-Civita connection, paving the way for new directions in differential geometry and mathematical physics.}
}