15 citations · 27 across the 4 of their papers we have counts for
4 papers
A third order dispersive flow for closed curves into almost Hermitian manifolds
Hiroyuki Chihara, Eiji Onodera
We discuss a short-time existence theorem of solutions to the initial value problem for a third order dispersive flow for closed curves into a compact almost Hermitian manifold. Ou…
The initial value problem for a third-order dispersive flow into compact almost Hermitian manifolds
Eiji Onodera
We present a time-local existence theorem of the initial value problem for a third-order dispersive evolution equation for open curves on compact almost Hermitian manifolds arising…
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
Eiji Onodera
We study the structure of differential equations of one-dimensional dispersive flows into compact Riemann surfaces. These equations geometrically generalize two-sphere valued syste…
A third-order dispersive flow for closed curves into Kähler manifolds
Eiji Onodera
This paper is devoted to studying the initial value problem for a third-order dispersive equation for closed curves into Kähler manifolds. This equation is a geometric generalizati…