@Article{JPDE-23-203, author = {}, title = {Some Geometric Flows on Kahler Manifolds}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {2}, pages = {203--208}, abstract = {

We define a kind of KdV (Korteweg-de Vries) geometric flow for maps from a real line or a circle into a Kรคhler manifold (N, J,h) with complex structure J and metric h as the generalization of the vortex filament dynamics from a real line or a circle. By using the geometric analysis, the existence of the Cauchy problems of the KdV geometric flows will be investigated in this note.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/5229.html} }