What does it mean for a Hermitian sesquilinear form to be 'anisotropic'?

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I've seen some references to a 'Hermitian and anisotropic sesquilinear form' with no definition of anisotropy given. According to this Wikipedia page, a quadratic form is anisotropic if $q(v)=0\Longrightarrow v=0$, but I have not seen a similar definition for sesquilinear forms. I would have thought it might be $h(x,x)=0\Longrightarrow x=0$ like with inner products, but this is just a guess.

Is there a standard definition of isotropy/anisotropy in this context?

EDIT: The main reference I am referring to is Definition 2.1 of this paper.