On connections, geodesics and sprays in synthetic differential geometry
Marta Bunge, Patrice Sawyer (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “On sprays and connections”
On connections, geodesics and sprays in synthetic differential geometry
On connections on the second iterated tangent bundle
Anton Dekrét (1987)
Archivum Mathematicum
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From the Fermi-Walker to the Cartan connection
Lafuente, Javier, Salvador, Beatriz
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Let be a -manifold with a Riemannian conformal structure . Given a regular curve on , the authors define a linear operator on the space of (differentiable) vector fields along , only depending on , called the Fermi-Walker connection along . Then, the authors introduce the concept of Fermi-Walker parallel vector field along , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of . This allows to consider the Fermi-Walker horizontal...