TY - JOUR
T1 - Wintgen ideal submanifolds with vanishing Möbius form
AU - Xie, Zhenxiao
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates to the scalar curvature, the mean curvature and the scalar normal curvature. They are conformal invariant objects and hence can be studied in the framework of Möbius geometry. In this paper, we discuss Wintgen ideal submanifolds with vanishing Möbius form. In particular, for those ones with codimension 2, we can give a complete classification.
AB - Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates to the scalar curvature, the mean curvature and the scalar normal curvature. They are conformal invariant objects and hence can be studied in the framework of Möbius geometry. In this paper, we discuss Wintgen ideal submanifolds with vanishing Möbius form. In particular, for those ones with codimension 2, we can give a complete classification.
KW - DDVV inequality
KW - Möbius form
KW - Wintgen ideal submanifolds
UR - https://www.scopus.com/pages/publications/84947130017
U2 - 10.1007/s10455-015-9473-1
DO - 10.1007/s10455-015-9473-1
M3 - 文章
AN - SCOPUS:84947130017
SN - 0232-704X
VL - 48
SP - 331
EP - 343
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 4
ER -