Abstract
We present a reduction-of-codimension theorem for surfaces with parallel mean curvature in symmetric spaces.
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References
Alencar, H., do Carmo, M. and Tribuzy, R., A Hopf theorem for ambient spaces of dimension higher than three, J. Differential Geom. 84 (2010), 1–17.
Eschenburg, R. and Tribuzy, R., Existence and uniqueness of maps in affine homogeneous spaces, Rend. Semin. Mat. Univ. Padova 80 (1993), 11–18.
Fetcu, D., Surfaces with parallel mean curvature in complex space forms, to appear in J. Differential Geom. arXiv:1101.5892.
Fetcu, D. and Rosenberg, H., Surfaces with parallel mean curvature in \(\mathbb{CP}^{n} \times\mathbb {R}\) and \(\mathbb{CH}^{n} \times\mathbb{R}\), to appear in Trans. Amer. Math. Soc. arXiv:1102.0219.
Yau, S.-T., Submanifolds with constant mean curvature, Amer. J. Math. 96 (1974), 346–366.
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Ferreira, M.J., Tribuzy, R. Parallel mean curvature surfaces in symmetric spaces. Ark Mat 52, 93–98 (2014). https://doi.org/10.1007/s11512-012-0170-z
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DOI: https://doi.org/10.1007/s11512-012-0170-z