On relations of invariants for vector-valued forms
نویسندگان
چکیده
منابع مشابه
On relations of invariants and syzygies for vector-valued forms
A method for constructing the syzygies of vector-valued bilinear forms is given. Explicit formulas for the generators of the relations among the invariant rational functions are listed. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1 Preliminaries 1.
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An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vector-valued bilinear forms. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1.1. Introduction. Vector-valued forms play a key role in the study of higher codimensional geometries. For example, they occur naturally in t...
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An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vectorvalued bilinear forms. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1 Preliminaries 1.
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A rather simple natural outer derivation of the graded Lie algebra of all vector valued differential forms with the Frölicher-Nijenhuis bracket turns out to be a differential and gives rise to a cohomology of the manifold, which is functorial under local diffeomorphisms. This cohomology is determined as the direct product of the de Rham cohomology space and the graded Lie algebra of ”traceless”...
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For R-vector spaces U and V we consider a symmetric bilinear map B : U×U → V . This then defines a quadratic map QB : U → V by QB(u) = B(u, u). Corresponding to each λ ∈ V ∗ is a R-valued quadratic form λQB on U defined by λQB(u) = λ · QB(u). B is definite if there exists λ ∈ V ∗ so that λQB is positive-definite. B is indefinite if for each λ ∈ V ∗, λQB is neither positive nor negative-semidefi...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2004
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1119