@article{Khan2022, 
author = {Meraj Ali Khan and Ali H. Alkhaldi and Mohd. Aquib},
title = {Estimation of eigenvalues for the    α-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16054-16066},
keywords = {eigenvalues, Laplacian, pseudo-slant submanifolds, generalized Sasakian space form},
url = {https://www.sciopen.com/article/10.3934/math.2022879},
doi = {10.3934/math.2022879},
abstract = {In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the    α-Laplacian operator on Riemannian manifolds. More precisely, various methods are used to determine the first eigenvalue for the    α-Laplacian operator on the closed oriented pseudo-slant submanifolds in a generalized Sasakian space form. From our findings for the Laplacian, we extend many Reilly-like inequalities to the    α-Laplacian on pseudo slant submanifold in a unit sphere.}
}