Construction of homogeneous minimal 2-spheres in complex Grassmannians

Fei Jie; Jiao Xiaoxiang; Xu Xiaowei

doi:10.1016/S0252-9602(11)60368-8

Construction of homogeneous minimal 2-spheres in complex Grassmannians

Fei Jie^*
, Jiao Xiaoxiang
, Xu Xiaowei

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU(2). Furthermore, we compute induced metrics, Gaussian curvatures, Kähler angles and the square lengths of the second fundamental forms of these homogeneous minimal 2-spheres in G(2,n+1) by making use of Veronese sequence.

Original language	English
Pages (from-to)	1889-1898
Number of pages	10
Journal	Acta Mathematica Scientia
Volume	31
Issue number	5
DOIs	https://doi.org/10.1016/S0252-9602(11)60368-8
Publication status	Published - Sept 2011
Externally published	Yes

Keywords

Complex Grassmann manifold
Gaussian curvature
Homogeneous 2-sphere
Käahler angle
Veronese sequence

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10.1016/S0252-9602(11)60368-8

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title = "Construction of homogeneous minimal 2-spheres in complex Grassmannians",

abstract = "In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU(2). Furthermore, we compute induced metrics, Gaussian curvatures, K{\"a}hler angles and the square lengths of the second fundamental forms of these homogeneous minimal 2-spheres in G(2,n+1) by making use of Veronese sequence.",

keywords = "Complex Grassmann manifold, Gaussian curvature, Homogeneous 2-sphere, K{\"a}ahler angle, Veronese sequence",

author = "Fei Jie and Jiao Xiaoxiang and Xu Xiaowei",

note = "Funding Information: ∗Received January 21, 2010; revised October 15, 2010. Project supported by the NSFC (11071248, 11071249); the third author supported by the Fundamental Research Funds for the Central Universities(USTC).",

year = "2011",

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doi = "10.1016/S0252-9602(11)60368-8",

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journal = "Acta Mathematica Scientia",

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T1 - Construction of homogeneous minimal 2-spheres in complex Grassmannians

AU - Jie, Fei

AU - Xiaoxiang, Jiao

AU - Xiaowei, Xu

N1 - Funding Information: ∗Received January 21, 2010; revised October 15, 2010. Project supported by the NSFC (11071248, 11071249); the third author supported by the Fundamental Research Funds for the Central Universities(USTC).

PY - 2011/9

Y1 - 2011/9

N2 - In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU(2). Furthermore, we compute induced metrics, Gaussian curvatures, Kähler angles and the square lengths of the second fundamental forms of these homogeneous minimal 2-spheres in G(2,n+1) by making use of Veronese sequence.

AB - In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU(2). Furthermore, we compute induced metrics, Gaussian curvatures, Kähler angles and the square lengths of the second fundamental forms of these homogeneous minimal 2-spheres in G(2,n+1) by making use of Veronese sequence.

KW - Complex Grassmann manifold

KW - Gaussian curvature

KW - Homogeneous 2-sphere

KW - Käahler angle

KW - Veronese sequence

UR - https://www.scopus.com/pages/publications/79961181878

U2 - 10.1016/S0252-9602(11)60368-8

DO - 10.1016/S0252-9602(11)60368-8

M3 - Article

AN - SCOPUS:79961181878

SN - 0252-9602

VL - 31

SP - 1889

EP - 1898

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 5

ER -

Construction of homogeneous minimal 2-spheres in complex Grassmannians

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Keywords

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