Theory of vector-valued differential forms part II.
نویسندگان
چکیده
منابع مشابه
A Cohomology for Vector Valued Differential Forms
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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The classical Schläfli formula, and its “higher” analogs given in [SS03], are relations between the variations of the volumes and “curvatures” of faces of different dimensions of a polyhedra (which can be Euclidean, spherical or hyperbolic) under a first-order deformation. We describe here analogs of those formulas which are vector-valued rather than scalar. Some consequences follow, for instan...
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In this second part of this paper, we discuss several important special cases of the problem solved in Part I. These are: disturbance attenuation and passivation, the full information case, the filtering problem, and the case that the to-be-controlled plant is given in input–state–output representation. An interesting aspect is the notion of full information, which we define in terms of the obs...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1958
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(58)50057-2