Equivariant Lagrangian Minimal S 3 in ℂP 3

Li, Zhen Qi; Tao, Yong Qian

doi:10.1007/s10114-005-0796-x

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Some Explicit Examples1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

2024

Publication Types

Select...

Article7

Relationship

Self Cite0

Independent7

Authors

Journals

Cited by 8 publications

(3 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recall from [Bedulli and Gori 2008], [Chen et al 1996], [Chiang 2004], or [Li and Tao 2006] (where (a, b) ∈ ‫ރ‬ 2 satisfies |a| 2 +|b| 2 = 1 and x ∈ ‫ޒ‬ 4 satisfies |x| 2 = 1) is a minimal Lagrangian immersion.…”

Section: Some Explicit Examplesmentioning

confidence: 99%

Construction of Lagrangian submanifolds in ℂℙⁿ

Chen¹,

Hu²,

Xu³

2012

Pacific J. Math.

View full text Add to dashboard Cite

show abstract

Section: Some Explicit Examplesmentioning

confidence: 99%

Construction of Lagrangian submanifolds in ℂℙⁿ

Chen¹,

Hu²,

Xu³

2012

Pacific J. Math.

View full text Add to dashboard Cite

show abstract

“…To extend the research of [2], and as a counterpart of Mashimo [17] studying the immersions from S 3 into S n , a variety of immersions of S 3 into CP n have been considered. For related references we refer to [3,7,8,12,13,14,15,16], among which the paper of the third author [12] is of fundamental importance for us.…”

Section: Introductionmentioning

confidence: 99%

Equivariant CR minimal immersions from $$S^3$$S3 into $$\mathbb CP^n$$CPn

Yin

Zhen-qi

2017

Ann Glob Anal Geom

View full text Add to dashboard Cite

The equivariant CR minimal immersions from the round 3-sphere S 3 into the complex projective space CP n have been classified by the third author explicitly (J London Math Soc 68: 223-240, 2003). In this paper, by employing the equivariant condition which implies that the induced metric is left-invariant, and that all geometric properties of S 3 = SU(2) endowed with a left-invariant metric can be expressed in terms of the structure constants of the Lie algebra su(2), we establish an extended classification theorem for equivariant CR minimal immersions from the 3-sphere S 3 into CP n without the assumption of constant sectional curvatures.

show abstract

“…For the higher dimensional case, Li [6] studied weakly Lagrangian (totally real) and CR kinds of minimal S 3 with constant sectional curvature in CP n . Li and Tao [8] studied the equivariant Lagrangian minimal immersion of S 3 into CP 3 .…”

Section: Introductionmentioning

confidence: 99%

The Minimal With Constant Sectional Curvature In

Li²

2015

J. Aust. Math. Soc.

View full text Add to dashboard Cite

It is known that the minimal 3-spheres of CR type with constant sectional curvature have been classified explicitly, and also that the weakly Lagrangian case has been studied. In this paper, we provide some examples of minimal 3-spheres with constant curvature in the complex projective space, which are neither of CR type nor weakly Lagrangian, and give the adapted frame of a minimal 3-sphere of CR type with constant sectional curvature.2010 Mathematics subject classification: primary 53C42; secondary 53C55.

show abstract

Equivariant Lagrangian Minimal S 3 in ℂP 3

Cited by 8 publications

References 3 publications

Construction of Lagrangian submanifolds in ℂℙⁿ

Construction of Lagrangian submanifolds in ℂℙⁿ

Equivariant CR minimal immersions from $$S^3$$S3 into $$\mathbb CP^n$$CPn

The Minimal With Constant Sectional Curvature In

Contact Info

Product

Resources

About

Equivariant Lagrangian Minimal S 3 in ℂP 3

Cited by 8 publications

References 3 publications

Construction of Lagrangian submanifolds in ℂℙn

Construction of Lagrangian submanifolds in ℂℙn

Equivariant CR minimal immersions from $$S^3$$S3 into $$\mathbb CP^n$$CPn

The Minimal With Constant Sectional Curvature In

Contact Info

Product

Resources

About

Construction of Lagrangian submanifolds in ℂℙⁿ

Construction of Lagrangian submanifolds in ℂℙⁿ