Exterior Systems

Azzouz Awane and Michel Goze
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Azzouz Awane: Université Hassan II, Faculté des Sciences
Michel Goze: Université de Haute Alsace, Faculté des Sciences et Techniques

Chapter Chapter 2 in Pfaffian Systems, k-Symplectic Systems, 2000, pp 23-34 from Springer

Abstract: Abstract Let E be an n-dimensional real vector space and Λ E* = ⊐ Λi E* its exterior algebra. An exterior equation is an equation of the form $$\theta = 0$$ where θ ∈ Λp E*. A solution of this exterior equation is a linear subspace H of E verifying $$\theta ({X_1},{X_2},...,{X_p}) = 0$$ , for all X 1 , X 2 , …, X p ∈ H.

Keywords: Bilinear Form; Linear Subspace; Dual Basis; Equivalent System; Exterior Algebra (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9526-1_2

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DOI: 10.1007/978-94-015-9526-1_2

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