Zhu Peng
School of Mathematics and Physics, Jiangsu University of Technology, Changzhou, Jiangsu, 213001, China.
An Acad Bras Cienc. 2016 Oct-Dec;88(4):2053-2065. doi: 10.1590/0001-3765201620150085.
In this paper, we prove that the dimension of the second space of reduced L2 cohomology of M is finite if is a complete noncompact hypersurface in a sphere 𝕊n+1and has finite total curvature (n≥3).
在本文中,我们证明了,如果(M)是球面(\mathbb{S}^{n + 1})中的一个完备非紧超曲面且具有有限全曲率((n\geq3)),那么(M)的约化(L^2)上同调的第二个空间的维数是有限的。