A Note on μ-Stable Surfaces with Prescribed Constant Mean Curvature
Author(s) -
Steffen Fröhlich
Publication year - 2003
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1155
Subject(s) - center of curvature , constant (computer programming) , mean curvature , constant mean curvature surface , mathematics , curvature , geometry , constant curvature , mathematical analysis , computer science , programming language
Using a generalized stability condition we give an upper bound of the principle curvatures of certain constant mean curvature surfaces. This implies a theorem of Bernstein type.
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