PARALLEL MEAN CURVATURE TORI IN CP2 AND CH2

被引：2

作者：

Kenmotsu, Katsuei ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2018年 / 70卷 / 03期

基金：

日本学术振兴会;

关键词：

Parallel mean curvature vector; constant mean curvature surfaces in complex space forms; TOTALLY-REAL SUBMANIFOLDS; MINIMAL-SURFACES; X R; VECTOR; CLASSIFICATION; TERMS;

D O I：

10.2748/tmj/1537495357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane.

引用

页码：475 / 485

页数：11

共 50 条

[1] Remarks on η-parallel real hypersurfaces in CP2 and CH2
Wang, Yaning
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (05)
[2] PARALLEL*-RICCI TENSOR OF REAL HYPERSURFACES IN CP2 AND CH2
Kaimakamis, George
Panagiotidou, Konstantina
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (06): : 1991 - 1998
[3] REAL HYPERSURFACES IN CP2 AND CH2 WITH CYCLIC PARALLEL *-RICCI TENSOR
Wang, Yaning
Wang, Wenjie
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (03) : 308 - 318
[4] Symplectic mean curvature flow in CP2
Han, Xiaoli
Li, Jiayu
Yang, Liuqing
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 48 (1-2) : 111 - 129
[5] Symplectic mean curvature flow in CP2
Xiaoli Han
Jiayu Li
Liuqing Yang
[J]. Calculus of Variations and Partial Differential Equations, 2013, 48 : 111 - 129
[6] Weakly Einstein real hypersurfaces in CP2 and CH2
Wang, Yaning
Zhang, Yingdong
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2022, 181
[7] Strongly Einstein real hypersurfaces in CP2 and CH2
Wang, Yaning
Zhang, Yingdong
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (01)
[8] A complete classification of real hypersurfaces in CP2 and CH2 with generalized ξ-parallel Jacobi structure Operator
Theofanidis, Th
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2016, 23 (01) : 103 - 113
[9] CP2和CH2中的Lagrange曲面
贾会才
王志伟
[J]. 河南工程学院学报(自然科学版), 2009, 21 (01) : 42 - 44
[10] HYPERSURFACES IN CP2 AND CH2 WITH TWO DISTINCT PRINCIPAL CURVATURES
Ivey, Thomas A.
Ryan, Patrick J.
[J]. GLASGOW MATHEMATICAL JOURNAL, 2016, 58 (01) : 137 - 152

← 1 2 3 4 5 →