Classfication of homogeneous two-spheres in G(2, 5; C)

Wenjuan Zhang; Jie Fei; Xiaoxiang Jiao

doi:10.1007/s10473-019-0123-8

Classfication of homogeneous two-spheres in G(2, 5; C)

Wenjuan Zhang
, Jie Fei^*
, Xiaoxiang Jiao

^*Corresponding author for this work

Department of Pure Mathematics

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

Abstract

In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

Original language	English
Pages (from-to)	312-328
Number of pages	17
Journal	Acta Mathematica Scientia
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s10473-019-0123-8
Publication status	Published - Jan 2019

Keywords

Gauss curvature
Homogeneous immersion
Kähler angle
Rigidity

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10.1007/s10473-019-0123-8

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title = "Classfication of homogeneous two-spheres in G(2, 5; C)",

abstract = "In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).",

keywords = "Gauss curvature, Homogeneous immersion, K{\"a}hler angle, Rigidity",

author = "Wenjuan Zhang and Jie Fei and Xiaoxiang Jiao",

note = "Publisher Copyright: {\textcopyright} Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences, 2019.",

year = "2019",

month = jan,

doi = "10.1007/s10473-019-0123-8",

language = "English",

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T1 - Classfication of homogeneous two-spheres in G(2, 5; C)

AU - Zhang, Wenjuan

AU - Fei, Jie

AU - Jiao, Xiaoxiang

N1 - Publisher Copyright: © Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences, 2019.

PY - 2019/1

Y1 - 2019/1

N2 - In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

AB - In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

KW - Gauss curvature

KW - Homogeneous immersion

KW - Kähler angle

KW - Rigidity

UR - https://www.scopus.com/pages/publications/85083513259

U2 - 10.1007/s10473-019-0123-8

DO - 10.1007/s10473-019-0123-8

M3 - Article

AN - SCOPUS:85083513259

SN - 0252-9602

VL - 39

SP - 312

EP - 328

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 1

ER -

Classfication of homogeneous two-spheres in G(2, 5; C)

Abstract

Keywords

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