Open AccessRelating diameter and mean curvature for submanifolds of Euclidean space
Author(s) -
Peter M. Topping
Publication year - 2008
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/135
Subject(s) - mathematics , mean curvature , mean curvature flow , euclidean space , curvature , mathematical analysis , space (punctuation) , pure mathematics , euclidean geometry , geometry , linguistics , philosophy
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).
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