Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

Jie Fei; Ling He; Jun Wang

doi:10.1016/j.geomphys.2025.105451

Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

Jie Fei, Ling He^*, Jun Wang

^*Corresponding author for this work

Department of Pure Mathematics

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

Abstract

We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.

Original language	English
Article number	105451
Journal	Journal of Geometry and Physics
Volume	211
DOIs	https://doi.org/10.1016/j.geomphys.2025.105451
Publication status	Published - May 2025

Keywords

Complex Grassmannian
Holomorphic two-sphere
Second fundamental form

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10.1016/j.geomphys.2025.105451

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title = "Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form",

abstract = "We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.",

keywords = "Complex Grassmannian, Holomorphic two-sphere, Second fundamental form",

author = "Jie Fei and Ling He and Jun Wang",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier B.V.",

year = "2025",

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doi = "10.1016/j.geomphys.2025.105451",

language = "English",

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T1 - Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

AU - Fei, Jie

AU - He, Ling

AU - Wang, Jun

PY - 2025/5

Y1 - 2025/5

N2 - We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.

AB - We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.

KW - Complex Grassmannian

KW - Holomorphic two-sphere

KW - Second fundamental form

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U2 - 10.1016/j.geomphys.2025.105451

DO - 10.1016/j.geomphys.2025.105451

M3 - Article

AN - SCOPUS:85217911397

SN - 0393-0440

VL - 211

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 105451

ER -

Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

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