Harmonicity of the complex structure on product of trans-Sasakian manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914158942879744 |
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| author | Yadav, Nidhi Gupta, Punam Gangele, R. K. |
| author_facet | Yadav, Nidhi Gupta, Punam Gangele, R. K. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_11731 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harmonicity of the complex structure on product of trans-Sasakian manifolds Yadav, Nidhi Gupta, Punam Gangele, R. K. Differential Geometry 53C05, 53C15, 53C25, 53D15 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. |
| title | Harmonicity of the complex structure on product of trans-Sasakian manifolds |
| topic | Differential Geometry 53C05, 53C15, 53C25, 53D15 |
| url | https://arxiv.org/abs/2511.11731 |