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Abstract
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We consider properties of the total curvature functional on the space of
2–sphere immersions into 3–space. We show that the infimum over all sphere
eversions of the maximum of the total curvature during an eversion is at most
and
we establish a non-injectivity result for local minima.
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Keywords
immersion, regular homotopy, relatively isotopy tight,
sphere eversion, total curvature
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Mathematical Subject Classification 2000
Primary: 53C42
Secondary: 53A04, 57R42
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Publication
Received: 8 February 2005
Revised: 22 February 2006
Accepted: 12 March 2006
Published: 23 March 2006
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