紧致类空子流形Schrodinger算子的第一特征值  

The First Eigenvalues of Schrodinger Operator in Compact Space-like Submanifolds

作　　者：张燕朋 ZHANG Yanpeng(Teaching Section of Mathematics,Baiyin Institute of Mining and Metallurgy,Baiyin 730900,China)

机构地区：[1]白银矿冶职业技术学院数学教研室,甘肃白银730900

出　　处：《新乡学院学报》2018年第3期1-4,7,共5页Journal of Xinxiang University

基　　金：青海大学中青年科研基金项目(2015-QGY-12)

摘　　要：在de Sitter空间S_D^(n+D)(c)中具有常平均曲率或常数量曲率的类空子流形上引入了两个Schrodinger算子L_H和L_R,估计了它们的第一特征值,获得了该类空子流形的一些特殊的谱特征值。Two schrodinger operators LH and LR were introduced in the submanifolds with constant mean curvature or constant scalar curvature in de Sitter spaces.The first eigenvalues of LH and LR were estimated.Some special spectral eigenvalues of this type of compact space-like submanifolds were obtained.

关 键 词：DESITTER空间 SCHRODINGER算子 特征值 

分 类 号：O186.12[理学—数学]