On Pseudo-Umbilical Lagrangian Submanifolds in CP3

On Pseudo-Umbilical Lagrangian Submanifolds in CP3

In this paper, an estimate of the constant scalar curvature of a compact non- minimal pseudo-umbilical Lagrangian submanifold in CP3 is obtained. As its application, we prove that compact Einstein pseudo-umbilical Lagrangian submanifolds in CP3 must be minimal.

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Veröffentlicht in:数学研究及应用：英文版 2014 (2), p.223-230
1. Verfasser: Liang ZHANG Weidong SONG Songting YIN
Format: Artikel
Sprache:eng
Schlagworte:
伪脐子流形
估计
常数量曲率
拉格朗日子流形
爱因斯坦
紧凑
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Zusammenfassung:In this paper, an estimate of the constant scalar curvature of a compact non- minimal pseudo-umbilical Lagrangian submanifold in CP3 is obtained. As its application, we prove that compact Einstein pseudo-umbilical Lagrangian submanifolds in CP3 must be minimal.
ISSN:2095-2651