Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching
Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching
This paper is the first of a three-part investigation into the behavior of analytical invariants of manifolds that can be split into the union of two submanifolds. In this article, we will show how the low eigensolutions of a self-adjoint elliptic operator over such a manifold can be studied by …