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Constant Gaussian Curvature Surfaces with Parallel Mean Curvature Vector in Two-Dimensional Complex Space Forms

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Abstract

We classify constant Gaussian curvature surfaces with nonzero parallel mean curvature vector in two-dimensional complex space forms. As a result, we find new examples of such surfaces.

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Correspondence to Shinya Hirakawa.

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Hirakawa, S. Constant Gaussian Curvature Surfaces with Parallel Mean Curvature Vector in Two-Dimensional Complex Space Forms. Geom Dedicata 118, 229–244 (2006). https://doi.org/10.1007/s10711-005-9038-8

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  • DOI: https://doi.org/10.1007/s10711-005-9038-8

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