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Covariant Differentiation Under Rolling Maps |
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Universidade de Coimbra, Centro de Matemática [University of Coimbra, Department of Mathematics] |
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Abstract |
We study properties of covariant derivatives of vector fields along curves on Riemannian manifolds mapped by rolling the manifolds without slip or twist. A natural definition of Riemannian polynomials arises from these properties. |
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