arXiv subjects
Publications and source records attributed to Nidhi Yadav.
In this paper, we study Clairaut generic Riemannian map from a nearly Kahler manifold to a Riemannian manifold. Further, we obtain a condition for a Clairaut generic Riemannian map to be a totally geodesic foliation on the total manifold. Lastly, we give non-trivial examples of such Riemannian maps.
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.
We investigate the conditions under which astheno-Kähler structures can be identified on the product of two compact trans-Sasakian manifolds of dimensions greater than 2.
This survey explores a range of classical findings and recent developments related to our understanding of astheno-Kähler manifolds. Furthermore, we provide various examples of astheno-Kähler manifolds and analyze the challenges associated with their existence.