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- Thread starter Jimmy Snyder
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- #2

I like Serena

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Positive-definite is equivalent to all eigenvalues being positive.

If one or more is negative, the tensor is indefinite.

It can still be used for a pseudo-Riemannian manifold.

The reason I can think of for a distinction for [itex]\mu = n[/itex], is that the tensor is negative-definite.

- #3

Matterwave

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From a mathematical point of view, I'm not sure what it would mean.

- #4

quasar987

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Are you certain you have this straight? What you call the Morse index is usually just called the

It just seems very strange to me why anyone would call the signature of a bilinear form the Morse index as there is nothing at all "Morsy" about it afaik.

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