I would like to write a book related to my question Singular semi-Riemannian Geometry: usefulness and state of the art.
In fact, I have some 120 pages of drafts, but I would like to detail more some parts which I wrote too quickly, and to explain more between the equations.
The planned content is pretty much the same as it is now, but more elaborated, and with more examples:
I. Singular semi-Riemannian manifolds Semi-Riemannian Manifolds with variable signature metricVariable Signature Metric
II. Applications to the Singularities in General Relativity
I have some additional directions in which I intend to develop the subject, and I want to add them to the book. Also I would like to make sure that I was not reinventing the wheel.