The Double Exponential Map on Spaces of Constant Curvature
Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 141-153 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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V. V. Dzhepko; Yu. G. Nikonorov. The Double Exponential Map on Spaces of Constant Curvature. Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 141-153. http://geodesic.mathdoc.fr/item/MT_2007_10_1_a5/

[1] Alekseevskii D. V., Vinberg E. B., Solodovnikov A. S., “Geometriya prostranstv postoyannoi krivizny”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 29, VINITI, M., 1988, 5–146

[2] Gavrilov A. V., “Dvoinoe eksponentsialnoe otobrazhenie i kovariantnoe differentsirovanie”, Sib. mat. zhurn., 48:1 (2007), 68–74 | MR

[3] Kartan E., Geometriya rimanovykh prostranstv, ONTI, M.; L., 1936

[4] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, t. 1–2, Nauka, M., 1981

[5] Sharafutdinov V. A., “Geometricheskoe ischislenie simvolov psevdodifferentsialnykh operatorov. I, II”, Mat. trudy, 7:2 (2004), 159–206 ; 8:1 (2005), 176–201 | MR | MR | Zbl