antisymmetric tensor

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antisymmetric tensor

[¦an·tē·si¦me·trik ′ten·sər]
(mathematics)
A tensor in which interchanging two indices of an element changes the sign of the element.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The first one corresponds to defining a (2m x 2m) tensor for mth order Lovelock polynomial by multiplying m such curvature tensors and then an alternating tensor of rank (2m x 2m) as [40]

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