Submanifold geometry (Q1329633)
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scientific article; zbMATH DE number 605085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Submanifold geometry |
scientific article; zbMATH DE number 605085 |
Statements
Submanifold geometry (English)
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12 July 1994
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Let \(M\) be a manifold endowed with a symmetric tensor field \(g\) of type \((0,2)\). Denote by \(S\) the set of points of degeneracy for \(g\). The author obtains an existence and uniqueness theorem for geodesics through \(S\) and existence and uniqueness theorems for parallel and Jacobi fields along these geodesics.
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singular set
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geodesic Jacobi field
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semi-Riemannian manifold
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