关于拟常曲率空间的紧致极小子流形的积分不等式  

About some integrate inequalities on compact minimal submanifolds in Riemannian manifold of quasi constant curvature

作　　者：姬兴民[1] 

机构地区：[1]陕西师范大学数学系

出　　处：《陕西师范大学学报（自然科学版）》1996年第2期15-18,共4页Journal of Shaanxi Normal University：Natural Science Edition

摘　　要：给出了拟常曲率空间紧致极小子流形的两个积分不等式，推广了前人在常曲率空间的相应结果．即：∫ＭＳ〔ｐｎ（ｃ－２Ｋ）－Ｓ〕ｄＶ≥０，当Ｋ≤０时有∫ＭＳ〔ｐｎ（ｃ－Ｋ）－Ｓ〕ｄＶ≥０；Two integrate inequalities on compact minimal submanifolds in Riemannian manifold of quasi constant curvature are given. A wide use is made of the theorems put forward by former researchers on the space as a constant curvature space form, i.e. ∫ M S pn(c-2K)-S d V ≥0, when K ≤0, ∫ MS pn(c-K)-S d V ≥0; ∫ MS (2-1/p)S-n d V ≥0.

关 键 词：子流形 黎曼曲率张量 拟常曲率空间 积分不等式 

分 类 号：O186.12[理学—数学]