卷积型梯度Yamabe孤立子的平凡性  

Triviality of warped product gradient Yamabe solitons

作　　者：刘建成 马小丽 LIU Jian-cheng;MA Xiao-li(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2023年第1期12-15,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12161078,11761061)。

摘　　要：研究卷积型梯度Yamabe孤立子,在基流形紧致且卷积函数和基流形的数量曲率满足一定的积分条件下,得到卷积型梯度Yamabe孤立子的平凡性结果;对基流形非紧且至多二次体积增长的情形,得到了卷积型梯度Yamabe孤立子平凡性结果的一个充分条件.The warped product gradient Yamabe solitons is discussed in this paper.Triviality results of the warped product gradient Yamabe solitons are obtained under the condition that the base manifolds are compact and the scalar curvature of base manifolds and warping function satisfy certain integral condition.For the case of base manifolds be noncompact and with at most quadratic volume growth,a sufficient condition for the triviality results of the warped product gradient Yamabe solitons is obtained.

关 键 词：卷积 梯度Yamabe孤立子 数量曲率 基流形 

分 类 号：O186.12[理学—数学]