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arXiv · 1711.02312

Gauss map of the skew mean curvature flow

Chong Song
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Abstract

The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schrödinger flow equation. In this regard, we explore the geometry of the oriented Grassmannian manifold explicitly by embedding it into the exterior product space.

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Chong Song. 2017-11-10. Gauss map of the skew mean curvature flow. https://arxiv.org/abs/1711.02312

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