This article is cited in 1 paper

The Double Exponential Map on Spaces of Constant Curvature

V. V. Dzhepko, Yu. G. Nikonorov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University

Abstract: In the article, we derive an explicit formula for the double exponential map on spaces of constant curvature. In addition, we consider some applications of the resulting formula to computing the principal symbol of the product of two pseudodifferential operators on a manifold with connection.

Key words: Riemannian manifold, space of constant curvature, symmetric space, pseudodifferential operator on a manifold.

UDC: 514.76+517.98

Received: 24.02.2006

 English version: Siberian Advances in Mathematics, 2008, 18:1, 21–29

Bibliographic databases:

•