Some inequalities for Lagrangian submanifolds in holomorphic statistical manifolds of constant holomorphic sectional curvature

Authors

  • Yan Jiang School of Mathematics and Statistics, Anhui Normal University, Anhui 241000, China
  • Dandan Cai School of Mathematics and Statistics, Anhui Normal University, Anhui 241000, China
  • Liang Zhang School of Mathematics and Statistics, Anhui Normal University, Anhui 241000, China

DOI:

https://doi.org/10.33044/revuma.2812

Abstract

We obtain two types of inequalities for Lagrangian submanifolds in holomorphic statistical manifolds of constant holomorphic sectional curvature. One relates the Oprea invariant to the mean curvature, the other relates the Chen invariant to the mean curvature. Our results generalize the corresponding inequalities for Lagrangian submanifolds in complex space forms.

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References

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Published

2023-12-29

Issue

Vol. 65 No. 2 (2023)

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Article

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Copyright (c) 2023 Yan Jiang, Dandan Cai, Liang Zhang

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