- #1

zn5252

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hey all,

in this book ;

https://www.amazon.com/Geometry-Riemannian-Spaces-Lie-Groups/dp/0915692341/ref=sr_1_1?ie=UTF8&qid=1348590926&sr=8-1&keywords=geometry+of+riemannian+++spaces++cartan

On page 178 ( which I attach a snapshot of it) Cartan had introduced a formula (see in the snapshot formula 6) without any proof ! it deals with the Riemann curvature tensor and bivectors.

Does someone know where does this formula come from please ? I believe this is equivalent to the way we write the electromagnetism tensor two-form :

F = 1/2 dx

This is somehow related to the formula used by John wheeler in the article : http://www.springerlink.com/content/y04t0w6xg064517q/

where we can see a snapshot of the page on which it was mentioned :

Thank you,

cheers,

in this book ;

https://www.amazon.com/Geometry-Riemannian-Spaces-Lie-Groups/dp/0915692341/ref=sr_1_1?ie=UTF8&qid=1348590926&sr=8-1&keywords=geometry+of+riemannian+++spaces++cartan

On page 178 ( which I attach a snapshot of it) Cartan had introduced a formula (see in the snapshot formula 6) without any proof ! it deals with the Riemann curvature tensor and bivectors.

Does someone know where does this formula come from please ? I believe this is equivalent to the way we write the electromagnetism tensor two-form :

F = 1/2 dx

^{μ}^ dx^{σ}F_{μσ}This is somehow related to the formula used by John wheeler in the article : http://www.springerlink.com/content/y04t0w6xg064517q/

where we can see a snapshot of the page on which it was mentioned :

Thank you,

cheers,

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