The eigenvalues of $ \beta $-Laplacian of slant submanifolds in complex space forms-Reference-Cited by-同舟云学术

The eigenvalues of $ \beta $-Laplacian of slant submanifolds in complex space forms

Published:2024 Issue:2 Volume:9 Page:3426-3439
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alqahtani Lamia Saeed¹,Ali Akram²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia

Abstract

<abstract><p>In this paper, we provided various estimates of the first nonzero eigenvalue of the $ \beta $-Laplacian operator on closed orientated $ p $-dimensional slant submanifolds of a $ 2m $-dimensional complex space form $ \widetilde{\mathbb{V}}^{2m}(4\epsilon) $ with constant holomorphic sectional curvature $ 4\epsilon $. As applications of our results, we generalized the Reilly-inequality for the Laplacian to the $ \beta $-Laplacian on slant submanifolds of a complex Euclidean space and a complex projective space.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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