Differential Calculus on Manifolds with a Boundary. Applications
Mathematical Physics
2018-02-07 v1 math.MP
Quantum Physics
Abstract
This paper contains a set of lecture notes on manifolds with boundary and corners, with particular attention to the space of quantum states. A geometrically inspired way of dealing with these kind of manifolds is presented,and explicit examples are given in order to clearly illustrate the main ideas.
Cite
@article{arxiv.1705.02974,
title = {Differential Calculus on Manifolds with a Boundary. Applications},
author = {Florio Maria Ciaglia and Fabio Di Cosmo and Marco Laudato and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1705.02974},
year = {2018}
}
Comments
42 pages, 6 figures, accepted for publication in International Journal of Geometric Methods in Modern Physics