Symbolic computations in applied differential geometry

P.K.H. Gragert; P.H.M. Kersten; Ruud Martini

doi:10.1007/BF02433841

Symbolic computations in applied differential geometry

P.K.H. Gragert, P.H.M. Kersten, Ruud Martini

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Abstract

The main aim of this paper is to contribute to the automatic calculations in differential geometry and its applications, with emphasis on the prolongation theory of Estabrook and Wahlquist, and the calculation of invariance groups of exterior differential systems. A large number of worked examples have been included in the text to demonstrate the concrete manipulations in practice. In the appendix, a list of programs discussed in the paper is added.

Original language	Undefined
Pages (from-to)	43-77
Journal	Acta applicandae mathematicae
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF02433841
Publication status	Published - 1983

Keywords

IR-85616

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10.1007/BF02433841

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Cite this

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title = "Symbolic computations in applied differential geometry",

abstract = "The main aim of this paper is to contribute to the automatic calculations in differential geometry and its applications, with emphasis on the prolongation theory of Estabrook and Wahlquist, and the calculation of invariance groups of exterior differential systems. A large number of worked examples have been included in the text to demonstrate the concrete manipulations in practice. In the appendix, a list of programs discussed in the paper is added.",

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AU - Gragert, P.K.H.

AU - Kersten, P.H.M.

AU - Martini, Ruud

PY - 1983

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AB - The main aim of this paper is to contribute to the automatic calculations in differential geometry and its applications, with emphasis on the prolongation theory of Estabrook and Wahlquist, and the calculation of invariance groups of exterior differential systems. A large number of worked examples have been included in the text to demonstrate the concrete manipulations in practice. In the appendix, a list of programs discussed in the paper is added.

KW - IR-85616

U2 - 10.1007/BF02433841

DO - 10.1007/BF02433841

M3 - Article

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EP - 77

JO - Acta applicandae mathematicae

JF - Acta applicandae mathematicae

SN - 0167-8019

IS - 1

ER -