Hi All,(adsbygoogle = window.adsbygoogle || []).push({});

let me preface I am an engineer, in classical terms, a trivial techician.

Still I am putting some effort in improving my tensorial calculus.

I am struggling with the definition of a metric tensor, as found for example in

[PLAIN]http://en.wikipedia.org/wiki/Metric_tensor[/URL] [Broken]

in particular I am not grasping how the length of the curve is expressed, as I obtain a different expression. I have posted my line of thought in the attached file, as I do not know how to use mathematical notation within the post.

Your help would be the most appreciated, as I am relaly looking forward to understanding where the mistake is.

Have a nice weekend

Muzialis

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# Metric tensor definition

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