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What is the "complex third derivative"?

The reason the complex Hessian (actually, it ought to be called the 'Hermitian Hessian', since it defines an Hermitian form at every point, but 'the complex Hessian' is entrenched in the literature) i …
Robert Bryant's user avatar
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Lifting quadratic forms on the cotangent bundle to higher level forms

I think that the answer to your question(s), when everything is sorted out, is 'no'. What is actually going on in the complex case that you are concerned with is that there are two Hermitian forms in …
Robert Bryant's user avatar