TITLE:
Verifications of the Scattering Theory on Manifolds
AUTHORS:
M. Y. Youssif, Elhadi E. E. Dalam
KEYWORDS:
Manifolds, Scattering theory, Spectrum
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.11,
November
27,
2020
ABSTRACT: Scattering theory plays the main role in the study of manifolds and the Laplacian spectrum. In this article, we process justifying the continuous Laplacian spectrumandon a complete Riemannian manifold. (M,gi) 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.