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

Frontiers of Mathematics ›› : 1 -18. DOI: 10.1007/s11464-022-0291-z

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

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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.

Keywords

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

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Jie Fei, Xiaoxiang Jiao, Jun Wang. A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces. Frontiers of Mathematics 1-18 DOI:10.1007/s11464-022-0291-z

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