Harmonicity of the complex structure on product of trans-Sasakian manifolds
Differential Geometry
2025-11-18 v1
Abstract
In this paper, we investigate the transverse geometry of trans-Sasakian manifolds and present several significant findings. We analyze the Levi-Civita connection associated with the metric on the product manifold of two trans-Sasakian manifolds. We outline the conditions under which the complex structure is harmonic on the product manifold. Notably, we also offer valuable insights into the harmonicity of the complex structure within the context of astheno- Kahler manifolds.
Keywords
Cite
@article{arxiv.2511.11731,
title = {Harmonicity of the complex structure on product of trans-Sasakian manifolds},
author = {Nidhi Yadav and Punam Gupta and R. K. Gangele},
journal= {arXiv preprint arXiv:2511.11731},
year = {2025}
}