In this article we study isometric immersions from Kahler manifolds whose (1,1) part of the second fundamental form is parallel, the ppmc isometric immersions. When the domain is a Riemann surface these immersions are precisely those with parallel mean curvature. P. J. Ryan has classified the Kahler manifolds that admit isometric immersions, as real hypersurfaces, in space forms. We classify the codimension two ppmc isometric immersions into space forms.
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机译：在本文中，我们研究了Kahler流形的等距浸入，其第二基本形式的（1,1）部分是平行的，即ppmc等距浸入。当畴是黎曼表面时，这些沉浸恰好是具有平行平均曲率的沉浸。 P. J. Ryan将允许等距浸入的Kahler流形分类为真正的超曲面，形式为空间形式。我们将余维两个ppmc等距浸没分类为空间形式。
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