Slide 10 text
Background: Spectral Geometry
Riemannian Manifold and Geodesics
Isometry and Isomorphism
Direct and Inverse Problems
Given a compact Riemannian manifold, we can associate to it
the Laplace-Beltrami operator.
Two closed Riemannian manifolds are said to be isospectral
if the eigenvalues of their Laplace–Beltrami operator
Thus, spectral geometry is the connection between the
spectrum Spec(M; g), i.e. the eigenvalues, and the geometry
of the manifold (M; g).
This fundamentally deals with two kinds of problems:
Sricharan Chiruvolu Isospectralization