On regular local operators on smooth maps

Włodzimierz Mikulski

Abstract


Let X, Y, Z, W be manifolds and π : Z → X be a surjective submersion. We characterize π-local regular operators A : C∞(X,Y) → C∞(Z,W) in terms of the corresponding maps à : J∞(X,Y) ×XZ → W satisfying the so-called local finite order factorization property.

Keywords


Local regular operator; jet.

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References


Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.

Slovak, J., Peetre theorem for nonlinear operators, Ann. Global Anal. Geom. 6 (3) (1988), 273-283.




DOI: http://dx.doi.org/10.17951/a.2015.69.2.69-72
Date of publication: 2015-12-30 22:51:59
Date of submission: 2015-12-30 16:33:58


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