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Currently displaying 1 – 3 of 3

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Two theorems on $(ε)$ -Sasakian manifolds.

Xu, Xufeng; Chao, Xiaoli — 1998

International Journal of Mathematics and Mathematical Sciences

$L^{p}$ harmonic $1$ -form on submanifold with weighted Poincaré inequality

Xiaoli Chao; Yusha Lv — 2018

Czechoslovak Mathematical Journal

We deal with complete submanifolds with weighted Poincaré inequality. By assuming the submanifold is $δ$ -stable or has sufficiently small total curvature, we establish two vanishing theorems for $L^{p}$ harmonic $1$ -forms, which are extensions of the results of Dung-Seo and Cavalcante-Mirandola-Vitório.

On totally real minimal submanifolds in complex projective space

Xiaoli Chao; Yaowen Li — 2005

Archivum Mathematicum

In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.

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