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Izvestiya: Mathematics, 1997, Volume 61, Issue 3, Pages 517–535
DOI: https://doi.org/10.1070/im1997v061n03ABEH000123 (Mi im123) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Topological entropy of geodesic flows on simply connected manifolds, and related topics

I. K. Babenko

M. V. Lomonosov Moscow State University
English version PDF (215 kB) Citations (7)
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DOI: https://doi.org/10.1070/im1997v061n03ABEH000123
Abstract: Lower estimates are obtained for the topological entropy of geodesic flows on simply connected manifolds. The estimates involve two constants; one depends on the homotopy type of the manifold only, and the other, introduced in this paper, on the properties of the metric in question. Some related topics are studied.
Received: 04.09.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 3, Pages 57–74
DOI: https://doi.org/10.4213/im123
Bibliographic databases:
MSC: Primary 53C23; Secondary 57R65
Language: English
Original paper language: Russian
Citation: I. K. Babenko, “Topological entropy of geodesic flows on simply connected manifolds, and related topics”, Izv. RAN. Ser. Mat., 61:3 (1997), 57–74; Izv. Math., 61:3 (1997), 517–535
Citation in format AMSBIB
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\by I.~K.~Babenko
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\pages 57--74
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  • https://doi.org/10.1070/im1997v061n03ABEH000123
  • https://www.mathnet.ru/eng/im/v61/i3/p57
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:405
    Russian version PDF:255
    English version PDF:26
    References:64
    First page:3
     
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