@book{d66d457793ad4f65b12548f961ce9c7a,
title = "Covariant Differentiation Under Rolling Maps",
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.",
keywords = "Calculus of Variations, Systems Theory and Control Theory",
author = "Fatima Silva-Leite and Krzysztof Krakowski",
year = "2008",
language = "English",
series = "Pr{\'e}-Publica{\c c}{\~o}es DMUC",
publisher = "Universidade de Coimbra, Centro de Matem{\'a}tica [University of Coimbra, Department of Mathematics]",
number = "Preprint Number 08-22",
}