Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

Jun Wang; Jie Fei; Xiaowei Xu

doi:10.1016/j.difgeo.2021.101840

Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

Jun Wang, Jie Fei, Xiaowei Xu^*

^*Corresponding author for this work

Department of Pure Mathematics

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

3 Citations (Scopus)

Abstract

In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.

Original language	English
Article number	101840
Journal	Differential Geometry and its Application
Volume	80
DOIs	https://doi.org/10.1016/j.difgeo.2021.101840
Publication status	Published - Feb 2022

Keywords

Complex Grassmann manifolds
Holomorphic curves
Pinching
Second fundamental form

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10.1016/j.difgeo.2021.101840

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title = "Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)",

abstract = "In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.",

keywords = "Complex Grassmann manifolds, Holomorphic curves, Pinching, Second fundamental form",

author = "Jun Wang and Jie Fei and Xiaowei Xu",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2022",

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doi = "10.1016/j.difgeo.2021.101840",

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T1 - Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

AU - Wang, Jun

AU - Fei, Jie

AU - Xu, Xiaowei

PY - 2022/2

Y1 - 2022/2

N2 - In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.

AB - In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.

KW - Complex Grassmann manifolds

KW - Holomorphic curves

KW - Pinching

KW - Second fundamental form

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U2 - 10.1016/j.difgeo.2021.101840

DO - 10.1016/j.difgeo.2021.101840

M3 - Article

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SN - 0926-2245

VL - 80

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

M1 - 101840

ER -

Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

Abstract

Keywords

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