A. V. Gavrilov, “The double exponential map and covariant derivation”, Sibirsk. Mat. Zh., 2007, Volume 48, Number 1,Pages <nobr>68

This article is cited in 13 papers

The double exponential map and covariant derivation

A. V. Gavrilov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences

Abstract: We study the double exponential map which is a composition of a special form of two exponential maps on a manifold with connection. We relate this map and the composition of covariant derivations as well as the composition of pseudodifferential operators on these manifolds.

Keywords: manifold with connection, covariant derivation, pseudodifferential operators.

UDC: 514.76+517.98

Received: 01.09.2004
Revised: 15.02.2006