Area and curvature in Finsler spaces (Q1340750)
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scientific article; zbMATH DE number 704249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Area and curvature in Finsler spaces |
scientific article; zbMATH DE number 704249 |
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Area and curvature in Finsler spaces (English)
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29 June 1995
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An explicit expression for \(k\)-dimensional \((1 \leq k \leq n)\) area in an \(n\)-dimensional Finsler space is introduced. Using this notion a new definition of curvature for submanifolds of a Finsler space endowed with a connection is given. This curvature in the case of \(F_ n =\mathbb{R}^ 3\) reduces to the Gauss curvature. Some open problems are mentioned.
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area
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curvature
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submanifolds
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Finsler space
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connection
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