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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 909–913
DOI: https://doi.org/10.4213/mzm1788 (Mi mzm1788) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the bore radius for minimal surfaces

V. G. Tkachev

Volgograd State University
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DOI: https://doi.org/10.4213/mzm1788
Abstract: A least upper bound for the inner radius $R$ of an opening in a complete minimal hypersurface contained in a parallel layer is given. Namely, if $\Delta$ is the width of this layer, then $R\le\Delta/(2c_p)$, where $c_p$ is an absolute constant depending only on the dimension $p$ of the minimal hypersurface.
Received: 23.08.1993
Revised: 22.12.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 657–660
DOI: https://doi.org/10.1007/BF02307215
Bibliographic databases:
UDC: 514.7
Language: Russian
Citation: V. G. Tkachev, “On the bore radius for minimal surfaces”, Mat. Zametki, 59:6 (1996), 909–913; Math. Notes, 59:6 (1996), 657–660
Citation in format AMSBIB
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\jour Math. Notes
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\pages 657--660
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    • This publication is cited in the following 1 articles:
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