Author(s)

M. Y. Youssif¹, Elhadi E. E. Dalam²

¹Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia.
²Department of Mathematics, College of Arts and Science in Al Mandag, Al Baha University, Al Baha, Saudi Arabia.

Scattering theory plays the main role in the study of manifolds and the Laplacian spectrum. In this article, we process justifying the continuous Laplacian spectrum  and  on a complete Riemannian manifold. (M,g_i) is categorized by the use of bounded curvature of the metric. In particular, the covariant derivative is limitedly considered as an application in the geodesic distance from a fixed point.

Manifolds, Scattering theory, Spectrum

Youssif, M. and Dalam, E. (2020) Verifications of the Scattering Theory on Manifolds. Advances in Pure Mathematics, 10, 645-657. doi: 10.4236/apm.2020.1011040.