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trees and plants

We know there are some tensors used in differential geometry, like the Riemann curvature tensor, the Weyl tensor, The Ricci curvature, the metric tensor,or the stress energy tensor, the electromagnetic tensor, the Einstein tensor, the Einstein metric, what other tensors do you know? We know in vector analysis theorems for mappings of several variables like in vector integral calculus the Gauss theorem or the Stokes theorem, what about generalisations of these in tensor calculus?Can they be generalised?

Thank you.