On the non-Riemannian quantity \(H\) of a Finsler metric (Q1001991)
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scientific article; zbMATH DE number 5509718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the non-Riemannian quantity \(H\) of a Finsler metric |
scientific article; zbMATH DE number 5509718 |
Statements
On the non-Riemannian quantity \(H\) of a Finsler metric (English)
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20 February 2009
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On a Finsler manifold the quantity \(H\), defined as the covariant derivative of the Berwald mean curvature, is considered. A relation between this non-Riemannian quantity (i.e. a quantity that vanishes in the case of a Riemann manifold) and Riemannian curvature terms is established. It is shown that all \(R\)-quadratic Finsler metrics have vanishing \(H\).
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Finsler manifold
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Non Riemannian quantity \(H\)
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\(R\)-quadratic metric
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