Surfaces of the nearly Kahler S3xS3 preserved by the almost product structure

被引：15

作者：

Antic, Miroslava ^{[1
]}

Hu, Zejun ^{[2
]}

Moruz, Marilena ^{[3
]}

Vrancken, Luc ^{[3
,4
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[3] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B,Box 2400, BE-3001 Leuven, Belgium

[4] Univ Politech Hauts De France, LMI, F-59313 Valenciennes, France

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 12期

关键词：

almost product structure P; nearly Kahler <mml; math altimg="urn; x-wiley; 0025584X; media; mana201900376; mana201900376-math-0003" display="inline"><mml; mrow><mml; msup><mml; mi mathvariant="double-struck">S</mml; mi><mml; mn>3</mml; mn></mml; mo>x</mml; mo><mml; msup></mml; mrow></mml; math>; slant surface; 3-DIMENSIONAL CR SUBMANIFOLDS; S-3;

D O I：

10.1002/mana.201900376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The product manifold S3xS3 is one of the only four homogeneous six-dimensional nearly Kahler manifolds. It also admits a canonical almost product structure P, which is compatible with the almost complex structure (see Bolton et al., Tohoku Math. J. 67 (2015), 1-17, and Moruz and Vrancken, Publ. Inst. Math. 103 (2018), no. 117, 147-158). In this paper, we investigate and describe the two-dimensional surfaces of S3xS3 which are P-invariant.

引用

页码：2286 / 2301

页数：16

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