In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or n...In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or noncompact manifolds,in which some basic tools,such as the weighted volume comparison theorem and the weak maximum principle at infinity,are used.A lower bound estimate for the scalar curvature is also obtained.展开更多
在Banach空间中引入了一类新的几乎渐进拟非扩张映像,人们熟知的非扩张映像类、渐进非扩张映像类以及渐进非扩张型映像类都是这种映像的特例．本文研究了用于逼近几乎渐进拟非扩张型映像的具混合误差的修改了的Ishikawa迭代序列收敛性问...在Banach空间中引入了一类新的几乎渐进拟非扩张映像,人们熟知的非扩张映像类、渐进非扩张映像类以及渐进非扩张型映像类都是这种映像的特例．本文研究了用于逼近几乎渐进拟非扩张型映像的具混合误差的修改了的Ishikawa迭代序列收敛性问题,并给出了此迭代序列收敛到不动点的充分必要条件．本文的结果推广了Chang S S等人的最新结果．展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.10971066,11171254)
文摘In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or noncompact manifolds,in which some basic tools,such as the weighted volume comparison theorem and the weak maximum principle at infinity,are used.A lower bound estimate for the scalar curvature is also obtained.
文摘在Banach空间中引入了一类新的几乎渐进拟非扩张映像,人们熟知的非扩张映像类、渐进非扩张映像类以及渐进非扩张型映像类都是这种映像的特例．本文研究了用于逼近几乎渐进拟非扩张型映像的具混合误差的修改了的Ishikawa迭代序列收敛性问题,并给出了此迭代序列收敛到不动点的充分必要条件．本文的结果推广了Chang S S等人的最新结果．
