Covariant Differentiation Under Rolling Maps

Title
Covariant Differentiation Under Rolling Maps
Publication Date
2008
Author(s)
Silva-Leite, Fatima
Krakowski, Krzysztof
Type of document
Report
Language
en
Entity Type
Publication
Publisher
Universidade de Coimbra, Centro de Matemática [University of Coimbra, Department of Mathematics]
Place of publication
Coimbra, Portugal
Series
Pré-Publicações DMUC
UNE publication id
une:7900
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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