Stochastic parallel transport and connections of $H^2M$

Pedro Catuogno

Displaying similar documents to “Stochastic parallel transport and connections of $H^2M$”

Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, Vondra, Alexandr

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Given a fibered manifold $Y \to X$ , a 2-connection on $Y$ means a section $J^{1} Y \to J^{2} Y$ . The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^{1} Y \to Y$ . (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^{1} Y \to Y$ .) Using this result, the authors deduce several properties of characterizable connections on $J^{1} Y \to X$ .

Second order connections on some functional bundles

Antonella Cabras, Ivan Kolář (1999)

Archivum Mathematicum

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We study the second order connections in the sense of C. Ehresmann. On a fibered manifold $Y$ , such a connection is a section from $Y$ into the second non-holonomic jet prolongation of $Y$ . Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on $Y$ , which are deduced in the first part of...

Stochastic calculus, statistical asymptotics, Taylor strings and phyla

Ole E. Barndorff-Nielsen, Peter E. Jupp, Wilfrid S. Kendall (1994)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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