A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces

Jie Fei; Xiaoxiang Jiao; Jun Wang

doi:10.1007/s11464-022-0291-z

A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces

Jie Fei
, Xiaoxiang Jiao
, Jun Wang^*

^*Corresponding author for this work

Department of Pure Mathematics

University of Chinese Academy of Sciences
Nanjing Normal University

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

Abstract

In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we determine all the closed minimal surfaces with the square norm of the second fundamental form satisfying a pinching condition.

Original language	English
Pages (from-to)	1007-1024
Number of pages	18
Journal	Frontiers of Mathematics
Volume	19
Issue number	6
DOIs	https://doi.org/10.1007/s11464-022-0291-z
Publication status	Published - 2024

Keywords

Complex projective spaces
constant Kähler angle
minimal surfaces
pinching
the second fundamental form

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10.1007/s11464-022-0291-z

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title = "A Simons-type Integral Inequality for Minimal Surfaces with Constant K{\"a}hler Angle in Complex Projective Spaces",

abstract = "In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant K{\"a}hler angle in complex projective spaces, and we determine all the closed minimal surfaces with the square norm of the second fundamental form satisfying a pinching condition.",

keywords = "Complex projective spaces, constant K{\"a}hler angle, minimal surfaces, pinching, the second fundamental form",

author = "Jie Fei and Xiaoxiang Jiao and Jun Wang",

note = "Publisher Copyright: {\textcopyright} Peking University 2024.",

year = "2024",

doi = "10.1007/s11464-022-0291-z",

language = "English",

volume = "19",

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journal = "Frontiers of Mathematics",

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T1 - A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces

AU - Fei, Jie

AU - Jiao, Xiaoxiang

AU - Wang, Jun

N1 - Publisher Copyright: © Peking University 2024.

PY - 2024

Y1 - 2024

N2 - In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we determine all the closed minimal surfaces with the square norm of the second fundamental form satisfying a pinching condition.

AB - In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we determine all the closed minimal surfaces with the square norm of the second fundamental form satisfying a pinching condition.

KW - Complex projective spaces

KW - constant Kähler angle

KW - minimal surfaces

KW - pinching

KW - the second fundamental form

UR - https://www.scopus.com/pages/publications/85196858301

U2 - 10.1007/s11464-022-0291-z

DO - 10.1007/s11464-022-0291-z

M3 - Article

AN - SCOPUS:85196858301

SN - 2731-8648

VL - 19

SP - 1007

EP - 1024

JO - Frontiers of Mathematics

JF - Frontiers of Mathematics

IS - 6

ER -

A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces

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Keywords

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