Some Geometric Flows on Kahler Manifolds

Some Geometric Flows on Kahler Manifolds

Year:    2010

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 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 Kähler 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v23.n2.6

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 203–208

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    KdV geometric flow

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