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一类特殊的拟几乎Einstein度量直径的下界估计

胡玲娟 毛晶晶 王林峰

胡玲娟, 毛晶晶, 王林峰. 一类特殊的拟几乎Einstein度量直径的下界估计[J]. 华东师范大学学报(自然科学版), 2014, (1): 27-35.
引用本文: 胡玲娟, 毛晶晶, 王林峰. 一类特殊的拟几乎Einstein度量直径的下界估计[J]. 华东师范大学学报(自然科学版), 2014, (1): 27-35.
HU Ling-juan, MAO Jing-jing, WANG Lin-feng. Lower diameter estimate for a special quasi-almost-Einstein metric[J]. Journal of East China Normal University (Natural Sciences), 2014, (1): 27-35.
Citation: HU Ling-juan, MAO Jing-jing, WANG Lin-feng. Lower diameter estimate for a special quasi-almost-Einstein metric[J]. Journal of East China Normal University (Natural Sciences), 2014, (1): 27-35.

一类特殊的拟几乎Einstein度量直径的下界估计

详细信息
  • 中图分类号: O186

Lower diameter estimate for a special quasi-almost-Einstein metric

  • 摘要: 加权~Myer~型定理给出了具有带正下界的~$\tau$-Bakry-\'{E}mery~曲率的完备黎曼流形直径的上界估计, 紧致流形直径的下界估计也是有趣的问题. 本文首先运用~Hopf~极大值原理证明了一类特殊的~$\tau$-拟几乎~Einstein~度量势函数的梯度估计. 运用该梯度估计得到了该度量直径的下界估计. 该结果推广了王林峰的关于紧致~$\tau$-拟~Einstein~度量直径下界估计的结果.
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出版历程
  • 收稿日期:  2013-03-01
  • 修回日期:  2013-06-01
  • 刊出日期:  2014-01-25

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