| On Pseudo-Umbilical Lagrangian Submanifolds in $\mathbb{C}P^3$ |
| Received:November 11, 2012 Revised:April 18, 2013 |
| Key Words:
pseudo-umbilical submanifolds Lagrangian submanifolds scalar curvature mean curvature.
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| Fund Project:Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province (Grant No.2011SQRL021ZD). |
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| Abstract: |
| In this paper, an estimate of the constant scalar curvature of a compact non-minimal pseudo-umbilical Lagrangian submanifold in $\mathbb{C}P^3$ is obtained. As its application, we prove that compact Einstein pseudo-umbilical Lagrangian submanifolds in $\mathbb{C}P^3$ must be minimal. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.02.012 |
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