Fundamental theorems of Lagrangian surfaces in S2 x S2

被引：0

作者：

Kimura, Makoto ^{[1
]}

Suizu, Kaoru ^{[2
]}

机构：

[1] Shimane Univ, Dept Math, Interdisciplinary Fac Sci & Engn, Matsue, Shimane 6908504, Japan

[2] Seikyo Gakuen High Sch, Dept Math, Osaka 5868585, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2007年 / 44卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence and SO(3) x SO(3)-congruence of Lagrangian immersion from oriented 2-dimensional Riemannian manifold to the Riemannian product of 2-spheres are studied. In particular, we will show that two minimal Lagrangian immersions are SO(3) x SO(3)-congruent if and only if the corresponding angle functions are coincide.

引用

页码：829 / 850

页数：22

共 50 条

[1] Tight Lagrangian surfaces in S2 x S2
Iriyeh, Hiroshi
Sakai, Takashi
[J]. GEOMETRIAE DEDICATA, 2010, 145 (01) : 1 - 17
[2] Tight Lagrangian surfaces in S2 × S2
Hiroshi Iriyeh
Takashi Sakai
[J]. Geometriae Dedicata, 2010, 145 : 1 - 17
[3] Minimal Surfaces in S2 x S2
Torralbo, Francisco
Urbano, Francisco
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2015, 25 (02) : 1132 - 1156
[4] Unknottedness of real Lagrangian tori in S2 x S2
Kim, Joontae
[J]. MATHEMATISCHE ANNALEN, 2020, 378 (3-4) : 891 - 905
[5] On certain Lagrangian submanifolds of S2 x S2 and CPn
Oakley, Joel
Usher, Michael
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2016, 16 (01): : 149 - 209
[6] LAGRANGIAN ISOTOPY OF TORI IN S2 x S2 AND CP2
Dimitroglou Rizell, Georgios
Goodman, Elizabeth
Ivrii, Alexander
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2016, 26 (05) : 1297 - 1358
[7] ON EXOTIC MONOTONE LAGRANGIAN TORI IN CP2 AND S2 X S2
Gadbled, Agnes
[J]. JOURNAL OF SYMPLECTIC GEOMETRY, 2013, 11 (03) : 343 - 361
[8] HAMILTONIAN UNKNOTTEDNESS OF CERTAIN MONOTONE LAGRANGIAN TORI IN S2 x S2
Cieliebak, Kai
Schwingenheuer, Martin
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2019, 299 (02) : 427 - 468
[9] On hypersurfaces of S2 X S2
Urbano, Francisco
[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2019, 27 (06) : 1381 - 1416
[10] On the Geometry of Hypersurfaces in S2 x S2
Lu, Xiaoge
Wang, Peng
Wang, Xiaozhen
[J]. RESULTS IN MATHEMATICS, 2023, 78 (01)

← 1 2 3 4 5 →