First eigenvalue of the Laplace operator and mean curvature

• Date: 2008
• Main Authors: Etemad, Dehkordy A., Етемад, Дегкорді А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3217
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The main theorem of this paper states a relation between the first nonzero eigenvalue of the Laplace operator and the squared norm of mean curvature in irreducible compact homogeneous manifolds under spatial conditions. This statement has some consequences presented in the remainder of paper.