Harmonicity of the complex structure on product of trans-Sasakian manifolds

2025/11/13 by Nidhi Yadav, Punam Gupta, Yadav, Nidhi +3
Mathematics · #53C05 #53C15 #53C25 #53D15 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2511.11731

openalex publication_date 2025/11/13 · openalex created_date 2025/11/19 · openalex updated_date 2026/07/28

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.

Citations

• Explicit Constructions of Astheno-Kähler Manifolds
• On astheno-Kähler manifolds
• Harmonic complex structures and special Hermitian metrics on products of Sasakian manifolds
• Hermitian structures on the product of Sasakian manifolds
• Orthogonal almost-complex structures of minimal energy

Related

• Harmonic complex structures and special Hermitian metrics on products of Sasakian manifolds
• Explicit Constructions of Astheno-Kähler Manifolds
• Complex structures on the product of two Sasakian manifolds
• Hermitian structures on the product of Sasakian manifolds
• Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds