Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms
This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds. Various approaches are being used to find the first eigenvalue for the ψ − Laplacian operator on closed ori...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-05-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.870119/full |
| _version_ | 1818231504537387008 |
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| author | Ali H. Alkhaldi Meraj Ali Khan Mohd. Aquib Lamia Saeed Alqahtani |
| author_facet | Ali H. Alkhaldi Meraj Ali Khan Mohd. Aquib Lamia Saeed Alqahtani |
| author_sort | Ali H. Alkhaldi |
| collection | DOAJ |
| description | This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds. Various approaches are being used to find the first eigenvalue for the ψ − Laplacian operator on closed oriented bi-slant submanifolds in a Sasakian space form. We extend different Reilly-like inequalities to the ψ − Laplacian on bi-slant submanifolds in a unit sphere depending on our results for the Laplacian operator. The conclusion of this study considers some special cases as well. |
| first_indexed | 2024-12-12T10:51:27Z |
| format | Article |
| id | doaj.art-14f823746aaf49fa9f3efb4a5a1bb6cf |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-12T10:51:27Z |
| publishDate | 2022-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-14f823746aaf49fa9f3efb4a5a1bb6cf2022-12-22T00:26:45ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-05-011010.3389/fphy.2022.870119870119Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space FormsAli H. Alkhaldi0Meraj Ali Khan1Mohd. Aquib2Lamia Saeed Alqahtani3Department of Mathematics, College of Science, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaThis study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds. Various approaches are being used to find the first eigenvalue for the ψ − Laplacian operator on closed oriented bi-slant submanifolds in a Sasakian space form. We extend different Reilly-like inequalities to the ψ − Laplacian on bi-slant submanifolds in a unit sphere depending on our results for the Laplacian operator. The conclusion of this study considers some special cases as well.https://www.frontiersin.org/articles/10.3389/fphy.2022.870119/fulleigenvaluesLaplacianbi-slant submanifoldsSasakian space formReilly-like inequalities |
| spellingShingle | Ali H. Alkhaldi Meraj Ali Khan Mohd. Aquib Lamia Saeed Alqahtani Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms Frontiers in Physics eigenvalues Laplacian bi-slant submanifolds Sasakian space form Reilly-like inequalities |
| title | Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms |
| title_full | Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms |
| title_fullStr | Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms |
| title_full_unstemmed | Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms |
| title_short | Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms |
| title_sort | estimation of eigenvalues for the ψ laplace operator on bi slant submanifolds of sasakian space forms |
| topic | eigenvalues Laplacian bi-slant submanifolds Sasakian space form Reilly-like inequalities |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.870119/full |
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