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Izvestiya: Mathematics, 2003, Volume 67, Issue 5, Pages 931–953
DOI: https://doi.org/10.1070/IM2003v067n05ABEH000452 (Mi im452) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On quasiconformally flat surfaces in Riemannian manifolds

V. M. Miklyukov
English version PDF (266 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2003v067n05ABEH000452
Abstract: We establish two properties of $K$-quasiconformally flat hypersurfaces in general Riemannian manifolds. The first is stated in isoperimetric terms and the second in terms of the main frequency of sections of the manifold by geodesic spheres. The two conditions coincide in the two-dimensional case.
Received: 27.05.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 5, Pages 83–106
DOI: https://doi.org/10.4213/im452
Bibliographic databases:
UDC: 517.53/57
MSC: 30C65, 30C70, 35B05
Language: English
Original paper language: Russian
Citation: V. M. Miklyukov, “On quasiconformally flat surfaces in Riemannian manifolds”, Izv. RAN. Ser. Mat., 67:5 (2003), 83–106; Izv. Math., 67:5 (2003), 931–953
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v67/i5/p83
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:472
    Russian version PDF:218
    English version PDF:16
    References:76
    First page:1
     
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