First eigenvalue of the Laplace operator and mean curvature

  • Dehkordy A. Etemad


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.
How to Cite
Etemad, D. A. “First Eigenvalue of the Laplace Operator and Mean Curvature”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 7, July 2008, pp. 1000–1003,
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