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- W2093689980 abstract "We consider properties of the total absolute geodesic curvature functional on circle immersions into a Riemann surface. In particular, we study its behavior under regular homotopies, its infima in regular homotopy classes, and the homotopy types of spaces of its local minima. 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 8pi and we establish a non-injectivity result for local minima." @default.
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- W2093689980 date "2006-03-23" @default.
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- W2093689980 title "Regular homotopy and total curvature II: sphere immersions into 3–space" @default.
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- W2093689980 doi "https://doi.org/10.2140/agt.2006.6.493" @default.
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