Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms
This paper investigates totally real submanifolds in a locally conformal Kaehler space form. Using the moving-frame method and constant mean curvature, we obtain the upper and lower bounds of the first eigenvalue for totally real submanifolds in a locally conformal Kaehler space form. We discussed t...
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2025-05-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/5/356 |
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| author | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan |
| author_facet | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan |
| author_sort | Noura M. Alhouiti |
| collection | DOAJ |
| description | This paper investigates totally real submanifolds in a locally conformal Kaehler space form. Using the moving-frame method and constant mean curvature, we obtain the upper and lower bounds of the first eigenvalue for totally real submanifolds in a locally conformal Kaehler space form. We discussed the integral inequalities and their properties. Some previous results are generalized from our results. |
| format | Article |
| id | doaj-art-8528e76c2fe446c99875250cb87daba0 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-8528e76c2fe446c99875250cb87daba02025-08-20T03:47:48ZengMDPI AGAxioms2075-16802025-05-0114535610.3390/axioms14050356Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space FormsNoura M. Alhouiti0Ali H. Alkhaldi1Akram Ali2Fatemah Mofarreh3Piscoran Laurian-Ioan4Department of Basic Sciences, University College of Haqel, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaMathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi ArabiaNorth University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, RomaniaThis paper investigates totally real submanifolds in a locally conformal Kaehler space form. Using the moving-frame method and constant mean curvature, we obtain the upper and lower bounds of the first eigenvalue for totally real submanifolds in a locally conformal Kaehler space form. We discussed the integral inequalities and their properties. Some previous results are generalized from our results.https://www.mdpi.com/2075-1680/14/5/356geometric inequalityDirichlet eigenvalueslocally conformal Kaehler space formslower and upper bounds of eigenvalues |
| spellingShingle | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms Axioms geometric inequality Dirichlet eigenvalues locally conformal Kaehler space forms lower and upper bounds of eigenvalues |
| title | Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms |
| title_full | Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms |
| title_fullStr | Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms |
| title_full_unstemmed | Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms |
| title_short | Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms |
| title_sort | eigenvalues for laplacian operator on submanifolds in locally conformal kaehler space forms |
| topic | geometric inequality Dirichlet eigenvalues locally conformal Kaehler space forms lower and upper bounds of eigenvalues |
| url | https://www.mdpi.com/2075-1680/14/5/356 |
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