differential form

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differential form

[‚dif·ə′ren·chəl ′fȯrm]
(mathematics)
A homogeneous polynomial in differentials.
References in periodicals archive ?
The samples show typical diffraction peak of monoclinic 2-form crystals, indicating that during cold-temperature stretching no crystal transformation occurrence.
This implies, in turn, that the above defined 2-form [rho] is a foliated object, i.
Let F be the 2-form defined by F (X, Y) = g (X, fY).
Moreover, some straightforward computations show that the differential of the fundamental 2-form [OMEGA]' associated to J' and g' is given by
Now let us compute the fundamental 2-form of the almost contact metric structure ([phi]', [xi], [eta], g).
Let [PHI] be the fundamental 2-form defined by [PHI](X,Y) = g(X,[phi]Y) for all differentiable vector fields X,Y on [?
where [psi] and [omega] are 2-form and 1-form, respectively.
is viewed as a closed 2-form [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
According to [12], [13], a pseudo-Riemannian metric of signature (p, q) on a smooth manifold M of dimension n = p + q is a smooth symmetric differentiable 2-form g on M such that, at each point x of M, [g.
A pseudo-Riemannian metric of signature (p, q) on a smooth manifold M of dimension n = p + q is a smooth symmetric differentiate 2-form g on M such that, at each point x of M, gx is non-degenerate on [T.
It turns out that in some cases the corresponding 2-form is actually non-degenerate, hence they define holomorphic symplectic structures on the corresponding moduli spaces.