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arXiv · 2509.18318

Curvature tensors and hyperbolic solitons on Lorentzian trans-Sasakian space form

Bidhan Mondal·Nirabhra Basu·Arindam Bhattacharyya
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Abstract

Lorantzian trans-Sasakian space form is a special type of space form in which the nature of even and odd dimensional space form both exist. Various curvature tensors with respect to Levi-Civita connection on the space form are derived in this paper. We have shown that if an odd-dimensional Lorentzian trans-Sasakian space form admits a hyperbolic Ricci soliton and hyperbolic conformal Ricci soliton then they will be $η$-Einstein. We also obtained the conditions for the solitons to be expanding, steady or shrinking. Finally, an example has been constructed which justifies the results obtained.

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Bidhan Mondal, Nirabhra Basu, Arindam Bhattacharyya. 2025-09-22. Curvature tensors and hyperbolic solitons on Lorentzian trans-Sasakian space form. https://arxiv.org/abs/2509.18318

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