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 the integral inequalities and their properties. Some previous results are generalized from our results.

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Publication Details

Journal
Axioms
Published
2025-05-08
DOI
https://doi.org/10.3390/axioms14050356
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
3.73

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article

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

Fatemah Mofarreh, Akram Ali, Ali Hussain AlKhaldi, Noura Alhouiti et al.
1 citations
Axioms
Geometric Analysis and Curvature Flows
3.73
article

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

Fatemah Mofarreh, Akram Ali, Ali Hussain AlKhaldi, Noura Alhouiti, Laurian‐Ioan Pişcoran
article en
1 citations

Abstract

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.

AxiomsVol. 14(5)
Princess Nourah bint Abdulrahman University (SA), Technical University of Cluj-Napoca (RO), University of Tabuk (SA), King Khalid University (SA)
Princess Nourah Bint Abdulrahman University
Openalex Percentile: Top 11%
Geometric Analysis and Curvature Flows
3.73
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Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms — Fatemah Mofarreh, Akram Ali, et al. · Axioms (2025) | TGRS Research Map | TGRS