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 向量丛值\ \mbox{\boldmath $p$}-形式的单调公式及消灭定理 Monotonicity Formulas and Vanishing Theorems for Vector Bundle Valued \mbox{\boldmath $p$}-forms 韩英波,冯书香 HAN Yingbo*, FENG Shuxiang** 信阳师范学院数学与信息科学学院, 信阳, 河南, 464000 College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan, 464000, P. R. China 收稿日期: 2013-12-07 出版日期: 2015-07-25 DOI: 10.11845/sxjz.2013165b
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/   /   推荐 摘要 利用应力—能量张量方法, 得到了满足广义$f$-守恒律向量丛值$p$-形式的单调公式以及消灭定理,另外研究了满足特殊积分公式的向量丛值$p$-形式, 并得到有关该形式的消灭结果. 关键词 ： 应力—能量张量,  单调公式,  消灭定理 Abstract：In this paper, by using the stress-energy tensor, we obtain some monotonicity formulas for $p$-forms $\omega\in A^p(\xi)$, which satisfy the generalized $f$-conservation laws, and some vanishing theorems for these forms. We also investigate some special forms $\omega\in A^p(\xi)$, i.e., forms obeying a special integral equation, and obtain vanishing theorems for these forms. Key words： monotonicity formula    vanishing theorem 通讯作者: ** shuxiangfeng78@163.com
  韩英波,冯书香. 向量丛值p-形式的单调公式及消灭定理[J]. 数学进展, 2014, 43(7): 13165-.
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