Real hypersurfaces foliated by totally real totally geodesic submanifolds

被引：0
|
作者：
Kimura, Makoto [1 ]
Maeda, Sadahiro [2 ]
Tanabe, Hiromasa [3 ]
机构：
[1] Ibaraki Univ, Dept Math, 2-1-1 Bunkyo, Mito 3108512, Japan
[2] Saga Univ, Shimane Univ, Dept Math, Saga, Japan
[3] Matsue Coll, Natl Inst Technol, Dept Sci, Matsue, Shimane 6908518, Japan
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 87卷
关键词：
Complex projective and hyperbolic plane; Integral curves of the characteristic vector field; Totally real circles; Real hypersurfaces foliated by totally real submanifolds; INTEGRAL CURVES; SPACE;
D O I：
10.1016/j.difgeo.2023.101988
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We bridge between submanifold geometry and curve theory. In the first half of this paper we classify real hypersurfaces in a complex projective plane and a complex hyperbolic plane all of whose integral curves-y of the characteristic vector field are totally real circles of the same curvature which is independent of the choice of-y in these planes. In the latter half, we construct real hypersurfaces which are foliated by totally real (Lagrangian) totally geodesic submanifolds in a complex hyperbolic plane, which provide one of the examples obtained in the classification.(c) 2023 Elsevier B.V. All rights reserved.
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