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

Research output: Contribution to journalArticlepeer-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 languageEnglish
JournalFrontiers of Mathematics
DOIs
Publication statusAccepted/In press - 2024

Keywords

  • 53C42
  • 53C55
  • Complex projective spaces
  • constant Kähler angle
  • minimal surfaces
  • pinching
  • the second fundamental form

Fingerprint

Dive into the research topics of 'A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces'. Together they form a unique fingerprint.

Cite this