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Relating diameter and mean curvature for submanifolds of Euclidean space
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Topping, Peter (2008) Relating diameter and mean curvature for submanifolds of Euclidean space. Commentarii Mathematici Helvetici, Vol.83 (No.3). pp. 539-546. doi:10.4171/CMH/135 ISSN 0010-2571.
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Official URL: http://dx.doi.org/10.4171/CMH/135
Abstract
Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its mean curvature H by
d <= C(m)integral(M)vertical bar H vertical bar(m-1)(d mu).
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Inequalities (Mathematics), Geometry, Plane , Submanifolds, Maximal functions, Curvature, Diameter (Geometry) | ||||
Journal or Publication Title: | Commentarii Mathematici Helvetici | ||||
Publisher: | European Mathematical Society Publishing House | ||||
ISSN: | 0010-2571 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.83 | ||||
Number: | No.3 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 539-546 | ||||
DOI: | 10.4171/CMH/135 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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