@article{Bag2025, 
author = {Biswabismita Bag and Meraj Ali Khan and Tanumoy Pal and Shyamal Kumar Hui},
title = {First chen inequality for biwarped product submanifold of a Riemannian space forms},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {9917-9932},
keywords = {bi-warped product, mean curvature, δ-invariant, scalar curvature, minimal sub-manifolds, Riemannian space forms, submanifolds},
url = {https://www.sciopen.com/article/10.3934/math.2025454},
doi = {10.3934/math.2025454},
abstract = {Within this paper, we have formulated the first Chen inequality for bi-warped product sub-manifolds within Riemannian space forms. This inequality intricately involved extrinsic invariants such as mean curvature and the lengths of the warping functions, while also incorporating intrinsic invariants like sectional curvature and    δ-invariants. Furthermore, we extensively explored and analyzed the scenarios where equality conditions were met within the context of this inequality.}
}