A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation

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概要

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• We present a time-local existence theorem of solutions to the initial value problem for a third-order dispersive evolution equation for open curves into compact almost Hermitian manifolds. Our equations geometrically generalize a two-sphere valued physical model describing the motion of vortex filament. These equations cause the so-called loss of one-derivative since the target manifold is not supposed to be a Kähler manifold. We overcome this difficulty by using a gauge transformation of a multiplier on the pull-back bundle to eliminate the bad first order terms essentially.

• Mathematical Society of Japan - Kobe Universityの論文

著者

• Onodera Eiji

  Kochi University

関連論文

• A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation

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