论文标题
$ h $ - bumbilical lagrangian submanifolds of近kähler$ \ mathbb {s}^3 \ times \ times \ mathbb {s}^3 $
$H$-umbilical Lagrangian submanifolds of the nearly Kähler $\mathbb{S}^3\times\mathbb{S}^3$
论文作者
论文摘要
引入了$ h $ bumbilicity作为拉格朗日亚曼菲尔德（Lagrangian Submanifolds）总脐带的类似物，因为在某些相关情况下，完全是脐带lagrangian submanifolds自动完全是地球上的。在本文中，我们表明，在均质中，Kähler$ \ mathbb {s}^3 \ times \ mathbb {s}^3 $，也是$ h $ - bumbimilical lagrangian submanifolds自动完全是地球上的。
$H$-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that in the homogeneous nearly Kähler $\mathbb{S}^3\times\mathbb{S}^3$, also $H$-umbilical Lagrangian submanifolds are automatically totally geodesic.
