International Journal of Engineering, Science and Mathematics
  • Year: 2020
  • Volume: 9
  • Issue: 8

Eigen values estimates on riemannian manifolds

  • Author:
  • Ibrahim-Elkhalil Ahmed13, Mohammed Nour A. Rabih24
  • Total Page Count: 9
  • Page Number: 27 to 35

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.

Abstract

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.

Keywords

Riemannian manifold, Conformal class, Hölder inequality, Steklovproblem, Eigenvalue