A characterization of the dependence of the Riemannian metric on the curvature tensor by Young symmetrizers

DOI10.4171/ZAA/813zbMath0904.53030OpenAlexW2012242895WikidataQ115211680 ScholiaQ115211680MaRDI QIDQ1381128

Bernd Fiedler

Publication date: 27 January 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/813

zbMATH Keywords

symmetrizationalgebras of tensor polynomialsHerglotz relationspartial derivatives of the curvature tensor

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differential invariants (local theory), geometric objects (53A55)

Uses Software

• MathTensor
• PERMS

Cites Work

• A use of ideal decomposition in the computer algebra of tensor expressions
• Representations of permutation groups. Part I
• Spinorkalkül und Normalkoordinaten
• Normal forms for tensor polynomials. I. The Riemann tensor
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