1Department of Mathematic, Jouf University, Gurayat, Kingdom of Saudi Arabia
2Department of Mathematic, College of Science and Arts in Uglat Asugour, Qassim university, Buraydah, Kingdom of Saudi Arabia
3Department of Mathematic, Shendi University, Shendi, Sudan
4Department of Mathematic, Bakht Eruda University, Eddwaim, Sudan
Online published on 4 January, 2021.
In this article we presented a concept of an eigenvalues on Riemannian manifolds, we estimated a value of aconstant cm[g] that Korevaar [3], used it to estimated a value of λκ (M,g). We proved theorems 4 and 5 by theorem 2.1 of [1] and we applyed this theorem to the Steklov eigenvalue problem.
Riemannian manifold, Conformal class, Hölder inequality, Steklovproblem, Eigenvalue