First eigenvalue of the Laplace operator and mean curvature

• Published in: Український математичний журнал
• Date: 2008
• Main Author: Etemad, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164697
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: First eigenvalue of the Laplace operator and mean curvature / A. Etemad // Український математичний журнал. — 2008. — Т. 60, № 7. — С. 1000–1003. — Бібліогр.: 6 назв. — англ.

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