@article{Alqahtani2024, 
author = {Lamia Saeed Alqahtani and Akram Ali},
title = {The eigenvalues of    β-Laplacian of slant submanifolds in complex space forms},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {3426-3439},
keywords = {eigenvalues, elliptical Laplacian operators, complex space forms, slant submanifolds, β-Laplcians operators},
url = {https://www.sciopen.com/article/10.3934/math.2024168},
doi = {10.3934/math.2024168},
abstract = {In this paper, we provided various estimates of the first nonzero eigenvalue of the    β-Laplacian operator on closed orientated    p-dimensional slant submanifolds of a    2  m-dimensional complex space form                                V                ~                    2      m        (  4  ϵ  ) with constant holomorphic sectional curvature    4  ϵ. As applications of our results, we generalized the Reilly-inequality for the Laplacian to the    β-Laplacian on slant submanifolds of a complex Euclidean space and a complex projective space.}
}