After my recent studies of the curvature of the 2- sphere, I would like to move on to Minkowski space. However, I can not seem to find the metric tensor of the 4 sphere on line, nor can I seem to think of the vector of transformation properties that I would use to derive the metric tensor of the 4 sphere.(adsbygoogle = window.adsbygoogle || []).push({});

Could anyone please post the metric tensor components for the 4-sphere (or a link to a page that has it) along with the labels telling what row and column each element is on?

Thank you very much.

If you can not do this, can you at least tell me what vector is differentiated with respect to θ and ø in order to derive the tangential vectors that are multiplied together (via the dot product) to get the metric tensor for the 2 sphere? If I can derive the metric tensor for the 2 sphere, then I should be able to extend it to 3 and 4 dimensions.

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# Metric tensor of the 4-sphere

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