@inproceedings{a8e8b722a0af457ca0d4fb53ef86354e,
title = "The M{\"o}bius geometry ofwintgen ideal submanifolds",
abstract = "Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the scalar normal curvature. They are M{\"o}bius invariant objects. The mean curvature sphere defines a conformal Gauss map into a Grassmann manifold. We show that any Wintgen ideal submanifold of dimension greater than or equal to 3 has a Riemannian submersion structure over a Riemann surface with the fibers being round spheres. Then the conformal Gauss map is shown to be a super-conformal and harmonic map from the underlying Riemann surface. Some of our previous results are surveyed in the final part.",
author = "Xiang Ma and Zhenxiao Xie",
note = "Publisher Copyright: {\textcopyright} Springer Japan 2014.; Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry ; Conference date: 10-08-2014 Through 12-08-2014",
year = "2014",
doi = "10.1007/978-4-431-55215-4\_37",
language = "英语",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "411--425",
editor = "Hyunjin Lee and J{\"u}rgen Berndt and Yoshihiro Ohnita and Kim, \{Byung Hak\} and Suh, \{Young Jin\}",
booktitle = "Real and Complex Submanifolds",
}