Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces (Q1079825)
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scientific article; zbMATH DE number 3964898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces |
scientific article; zbMATH DE number 3964898 |
Statements
Lax type representation for embeddings of manifolds in non-Riemannian enveloping spaces (English)
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1985
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Eine neue Ermittlung der Gleichungen von Gauß, Peterson-Codazzi und Ricci für Einbettungen in affin zusammenhängende Mannigfaltigkeiten mittels der Laxschen Darstellung wird vorgeschlagen, wobei die auftretenden Operatoren als Elemente der Lie-Algebra \({\mathfrak gl}(n;{\mathbb{R}})\) betrachtet werden.
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affine connection
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Gauss equation
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Codazzi equation
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Ricci equations
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Lax representation
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