HodgeDual

HodgeDual[tensor]
gives the Hodge dual of the tensor

HodgeDual[tensor, dim]
dualizes tensor in the slots with dimension dim

HodgeDual[tensor, dim, slots]
dualizes tensor in the given slots.

DetailsDetails

  • HodgeDual[tensor] requires all slots of tensor to have the same dimension dim, which will be taken as the implied second argument. The result will have rank , where r is the rank of tensor.
  • HodgeDual[tensor, dim] dualizes tensor in all slots with the given dimension, leaving the rest as the last slots of the result.
  • HodgeDual[tensor, dim, slots] requires the given slots of tensor to have dimension dim.
  • HodgeDual effectively antisymmetrizes in advance the slots to be dualized.
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