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Matematicheskie Trudy, 2007, Volume 10, Number 1, Pages 141–153 (Mi mt32)  
This article is cited in 1 scientific paper (total 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
Full-text PDF (196 kB) Citations (1)
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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.
Received: 24.02.2006
English version:
Siberian Advances in Mathematics, 2008, Volume 18, Issue 1, Pages 21–29
DOI: https://doi.org/10.3103/S1055134408010021
Bibliographic databases:
UDC: 514.76+517.98
Language: Russian
Citation: V. V. Dzhepko, Yu. G. Nikonorov, “The Double Exponential Map on Spaces of Constant Curvature”, Mat. Tr., 10:1 (2007), 141–153; Siberian Adv. Math., 18:1 (2008), 21–29
Citation in format AMSBIB
\Bibitem{DzhNik07}
\by V.~V.~Dzhepko, Yu.~G.~Nikonorov
\paper The Double Exponential Map on Spaces of Constant Curvature
\jour Mat. Tr.
\yr 2007
\vol 10
\issue 1
\pages 141--153
\mathnet{http://mi.mathnet.ru/mt32}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485369}
\transl
\jour Siberian Adv. Math.
\yr 2008
\vol 18
\issue 1
\pages 21--29
\crossref{https://doi.org/10.3103/S1055134408010021}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:75
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