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- Y. Kivshar3 profiles78 · h 136
- I. Shadrivov30 · h 53
- A. Sukhorukov29 · h 51
- J. Norris2 profiles21 · h 67
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- R. Taylor4 profiles21 · h 74
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- M. Smith3 profiles20 · h 43
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- Mount Stromlo ObservatoryAU84 papers
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- Centre for Ultrahigh Bandwidth Devices for Optical SystemsAU38 papers
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4 papers · 2 filters
Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
Ben Andrews, James McCoy
We consider convex hypersurfaces for which the ratio of principal curvatures at each point is bounded by a function of the maximum principal curvature with limit 1 at infinity. We…
Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere
Ben Andrews, Paul Bryan
We prove a comparison theorem for the isoperimetric profiles of solutions of the normalized Ricci flow on the two-sphere: If the isoperimetric profile of the initial metric is grea…
Curvature bound for curve shortening flow via distance comparison and a direct proof of Grayson's theorem
Ben Andrews, Paul Bryan
A new isoperimetric estimate is proved for embedded closed curves evolving by curve shortening flow, normalized to have total length . The estimate bounds the length of any cho…
Higher Order Connections
Michael G. Eastwood
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.