The Semi-Symmetric Metric Connection – Part II

Mathematical Preliminaries

In the previous post in this series, I gave the rationale for undertaking this extended (re-)examination of the geometry of the semi-symmetric metric connection (SSMC): essentially, it represents (to my mind) the most ultra-minimalist extension to General Relativity (GR) at all possible – or so I thought back in the early 1990s – given that it introduces precisely one new object – a vector field – as part of the connection. Continue reading “The Semi-Symmetric Metric Connection – Part II”

The Semi-Symmetric Metric Connection – Part I

The Background

Many years ago (getting close to 30 now), while doing my PhD (Voros 1996) in theoretical physics on mathematical extensions to General Relativity – and in particular, on Einstein’s own “unified field theory” – I happened across a book by Jan Schouten (1954) called Ricci-Calculus, which was an introduction (by a mathematician) to tensors and their applications, especially to geometrical thinking and analysis.

Continue reading “The Semi-Symmetric Metric Connection – Part I”

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