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Factoid Details

‘A (bilinear form) can be positive.’

[⟨det (nn bilinear.n form.n)⟩ positive.a]

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In Wikipedia:

Thus “B” is a positive definite symmetric bilinear form, in other words, an inner product on “V”.
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In Wikipedia:

Riemannian geometry studies Riemannian manifolds, smooth manifolds with a “Riemannian metric”, a notion of a distance expressed by means of a smooth positive definite symmetric bilinear form defined on the tangent space at each point.
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In Wikipedia:

Such an involution is called a “’Cartan involution ’” on [Formula 1] if [Formula 7] is a positive definite bilinear form.
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Queried on 2013-05-22.