%0 Journal Article %1 Eschenburg_2009 %A Eschenburg, J.-H. %A Kollross, A. %A Tribuzy, R. %D 2009 %I Elsevier BV %J Differential Geometry and its Applications %K myown from:kollross %N 6 %P 691--695 %R 10.1016/j.difgeo.2009.03.009 %T Codimension of immersions with parallel pluri-mean curvature %U https://doi.org/10.1016%2Fj.difgeo.2009.03.009 %V 27 %X Immersions with parallel pluri-mean curvature into euclidean n-space generalize constant mean curvature immersions of surfaces to Kähler manifolds of complex dimension m. Examples are the standard embeddings of Kähler symmetric spaces into the Lie algebra of its transvection group. We give a lower bound for the codimension of arbitrary ppmc immersions. In particular we show that M is locally symmetric if the codimension is minimal.

@article{Eschenburg_2009, abstract = {Immersions with parallel pluri-mean curvature into euclidean n-space generalize constant mean curvature immersions of surfaces to Kähler manifolds of complex dimension m. Examples are the standard embeddings of Kähler symmetric spaces into the Lie algebra of its transvection group. We give a lower bound for the codimension of arbitrary ppmc immersions. In particular we show that M is locally symmetric if the codimension is minimal.}, added-at = {2021-07-07T17:07:51.000+0200}, author = {Eschenburg, J.-H. and Kollross, A. and Tribuzy, R.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2cb5a9d784be3aefb3af19f507928b4e1/mathematik}, doi = {10.1016/j.difgeo.2009.03.009}, interhash = {5ccf5028365979873208e7a8d04ff329}, intrahash = {cb5a9d784be3aefb3af19f507928b4e1}, journal = {Differential Geometry and its Applications}, keywords = {myown from:kollross}, month = dec, number = 6, pages = {691--695}, publisher = {Elsevier {BV}}, timestamp = {2021-07-07T15:07:51.000+0200}, title = {Codimension of immersions with parallel pluri-mean curvature}, url = {https://doi.org/10.1016%2Fj.difgeo.2009.03.009}, volume = 27, year = 2009 }