Constructing Involutive Tableaux with Guillemin Normal Form
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Constructing Involutive Tableaux with Guillemin Normal Form
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| Creator |
Smith, A.D.
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| Description |
Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-Kähler theorem. Guillemin normal form establishes that the prolonged symbol of an involutive system admits a commutativity property on certain subspaces of the prolonged tableau. This article examines Guillemin normal form in detail, aiming at a more systematic approach to classifying involutive systems. The main result is an explicit quadratic condition for involutivity of the type suggested but not completed in Chapter IV, § 5 of the book Exterior Differential Systems by Bryant, Chern, Gardner, Goldschmidt, and Griffiths. This condition enhances Guillemin normal form and characterizes involutive tableaux.
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| Date |
2019-02-13T17:02:07Z
2019-02-13T17:02:07Z 2015 |
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| Type |
Article
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| Identifier |
Constructing Involutive Tableaux with Guillemin Normal Form / A.D. Smith // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 9 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58A15; 58H10 DOI:10.3842/SIGMA.2015.053 http://dspace.nbuv.gov.ua/handle/123456789/147123 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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