Abstract
Let M be a set. An n-dimensional chart c on M is a pair (U,ϕ) , where U is a subset of M and ϕ a bijective mapping of U onto an open set of Rn . U is called the domain of c,ϕ the coordinate mapping of c. For each pεU we can write (see Fig. 1)
We call (x1,...,xn) the local coordinates of p in the chart (U,ϕ). The notation can be made more explicit by writing x1,...,xn in the form
or, in short, x(p)
Lecture given at IX. Internationale Universitätswochen für Kernphysik, Schladming, February 23 March 7, 1970.
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Literature
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Hlawka, E. (1970). Differentiable Manifolds. In: Urban, P. (eds) Developments in High Energy Physics. Acta Physica Austriaca, vol 7/1970. Springer, Vienna. https://doi.org/10.1007/978-3-7091-5835-7_9
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