H-Umbilical Lagrangian Submanifolds of the Nearly Kahler S3 x S3

被引：12
|
作者：
Antic, Miroslava [1 ]
Moruz, Marilena [2 ]
Van der Veken, Joeri [2 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16,Pb 550, Belgrade 11000, Serbia
[2] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B Box 2400, B-3001 Leuven, Belgium
来源：
MATHEMATICS | 2020年 / 8卷 / 09期
基金：
中国国家自然科学基金;
关键词：
nearly Kahler S-3 x S-3; Lagrangian submanifolds; H-umbilical; MANIFOLDS; SURFACES;
D O I：
10.3390/math8091427
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Kahler S-3 x S-3, also H-umbilical Lagrangian submanifolds are automatically totally geodesic.
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页数：8
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