RIGIDITY OF IMMERSED SUBMANIFOLDS IN A HYPERBOLIC SPACE

被引：0

作者：

Nguyen Thac Dung ^{[1
]}

机构：

[1] Hanoi Univ Sci HUS VNU, Dept Math Mech & Informat, 334 Nguyen Trai Rd, Hanoi, Vietnam

来源：

Bulletin of the Korean Mathematical Society | 2016年 / 53卷 / 06期

关键词：

immersed hypersurface; harmonic forms; the first eigenvalue; delta-stablity; stable hypersurface; STABLE MINIMAL HYPERSURFACES; L-2; HARMONIC; 1-FORMS; COMPLETE MANIFOLDS; CURVATURE; THEOREMS; RN+1;

D O I：

10.4134/BKMS.b150986

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-n, 2 <= n <= 6 be a complete noncompact hypersurface immersed in Hn+1. We show that there exist two certain positive constants 0 < delta <= 1, and beta depending only on delta and the first eigenvalue lambda(1) (M) of Laplacian such that if M satisfies a (delta-SC) condition and lambda(1)(M) has a lower bound then H-1(L-2(M)) = 0. Excepting these two conditions, there is no more additional condition on the curvature.

引用

页码：1795 / 1804

页数：10

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