Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms

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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Bibliographic Details
Main Authors: Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali, Fatemah Mofarreh, Piscoran Laurian-Ioan
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Axioms
Subjects:
geometric inequality
Dirichlet eigenvalues
locally conformal Kaehler space forms
lower and upper bounds of eigenvalues
Online Access:https://www.mdpi.com/2075-1680/14/5/356
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Summary: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.
ISSN:2075-1680

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