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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 1, Pages 1–37
DOI: https://doi.org/10.1070/IM1989v033n01ABEH000811 (Mi im1200) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Closed geodesics, asymptotic volume, and characteristics of group growth

I. K. Babenko
English version PDF (2093 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/IM1989v033n01ABEH000811
Abstract: A function $N_g(t)$ equal to the number of closed geodesics of length not greater than $t$ is considered on the Riemannian manifold $(M,g)$. Also considered are related questions on the behavior of the volume function for a geodesic ball on the universal covering manifold.
Bibliography: 20 titles.
Received: 04.01.1987
Bibliographic databases:
UDC: 514.774.8
MSC: 53C22
Language: English
Original paper language: Russian
Citation: I. K. Babenko, “Closed geodesics, asymptotic volume, and characteristics of group growth”, Math. USSR-Izv., 33:1 (1989), 1–37
Citation in format AMSBIB
\Bibitem{Bab88}
\by I.~K.~Babenko
\paper Closed geodesics, asymptotic volume, and characteristics of group growth
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 1
\pages 1--37
\mathnet{http://mi.mathnet.ru//eng/im1200}
\crossref{https://doi.org/10.1070/IM1989v033n01ABEH000811}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=966980}
\zmath{https://zbmath.org/?q=an:0668.53032|0657.53024}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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