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| 摘要: |
| 本文研究了拟复射影空间的Kähler迷向子流形Pinching问题,利用活动标架法,得到了关于第二基本形式、截面曲率下界,Ricci曲率下界的Pinching定理,将Pinching常数和外围空间都进行了推广. |
| 关键词: 拟复射影空间 迷向子流形 第二基本形式 Kähler子流形 |
| DOI： |
| 分类号:O186.12 |
| 基金项目:国家自然科学基金资助(12161002). |
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| KÄHLER ISOTROPIC SUBMANIFOLDS FOR QUASI COMPLEX PROJECTIVE SPACES |
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SHI Yu-xin
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| Abstract: |
| This article studies the pinching problem of Kähler isotropic submanifolds in quasi complex projective spaces. By utilizing the moving frame method, it establishes pinching theorems related to the second fundamental form, lower bounds of sectional curvature, and lower bounds of Ricci curvature, while generalizing both the pinching constant and the surrounding space to some extent. |
| Key words: quasi complex projective spaces isotropic submanifolds the second fundamental form |
