复 Grassmann 流形中拼挤常曲率全纯球面的分类

Jie Fei; Xiaoxiang Jiao; Jun Wang

doi:10.1360/SSM-2024-0056

复 Grassmann 流形中拼挤常曲率全纯球面的分类

Translated title of the contribution: Classification of pinched constantly curved holomorphic two-spheres in the complex Grassmann manifolds

Jie Fei
, Xiaoxiang Jiao
, Jun Wang^*

^*Corresponding author for this work

Department of Pure Mathematics

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

Abstract

In this paper, we propose a formation mechanism named “the direct sum of foundation stones” about pinched constantly curved holomorphic two-spheres (write “PCCH S²” briefly) in the complex Grassmann manifolds G(k,N), and we completely classify the non-degenerated PCCH S² in G(4,8).

Translated title of the contribution	Classification of pinched constantly curved holomorphic two-spheres in the complex Grassmann manifolds
Original language	Chinese (Traditional)
Pages (from-to)	49-66
Number of pages	18
Journal	Scientia Sinica Mathematica
Volume	55
Issue number	1
DOIs	https://doi.org/10.1360/SSM-2024-0056
Publication status	Published - 1 Jan 2025

Keywords

constant Gaussian curvature
holomorphic two-spheres
pinched
the complex Grassmann manifolds

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10.1360/SSM-2024-0056

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abstract = "In this paper, we propose a formation mechanism named “the direct sum of foundation stones” about pinched constantly curved holomorphic two-spheres (write “PCCH S2” briefly) in the complex Grassmann manifolds G(k,N), and we completely classify the non-degenerated PCCH S2 in G(4,8).",

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AU - Fei, Jie

AU - Jiao, Xiaoxiang

AU - Wang, Jun

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Y1 - 2025/1/1

N2 - In this paper, we propose a formation mechanism named “the direct sum of foundation stones” about pinched constantly curved holomorphic two-spheres (write “PCCH S2” briefly) in the complex Grassmann manifolds G(k,N), and we completely classify the non-degenerated PCCH S2 in G(4,8).

AB - In this paper, we propose a formation mechanism named “the direct sum of foundation stones” about pinched constantly curved holomorphic two-spheres (write “PCCH S2” briefly) in the complex Grassmann manifolds G(k,N), and we completely classify the non-degenerated PCCH S2 in G(4,8).

KW - constant Gaussian curvature

KW - holomorphic two-spheres

KW - pinched

KW - the complex Grassmann manifolds

UR - https://www.scopus.com/pages/publications/105022783600

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DO - 10.1360/SSM-2024-0056

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JO - Scientia Sinica Mathematica

JF - Scientia Sinica Mathematica

IS - 1

ER -

复 Grassmann 流形中拼挤常曲率全纯球面的分类

Abstract

Keywords

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