Laplacians & Laplace Transforms with Respect to Geometric Analysis of 1-Manifolds of Constant Curvature

This presentation continues on the course begun in past NUMS presentations. Properties of the Laplacian values of the Circle and Aster, and the Laplacian's role in construction of the heat kernel on both manifolds, are covered. Also covered will be properties of the Laplace Transform values of the circle and the aster. A sheet of fundamental/basic notation and a copy of the paper on which this talk is based are/will be available before March at http://jonathandavidevenboer.weebly.com/blog