On the reduced L2 cohomology on complete hypersurfaces in Euclidean spaces
On the reduced L2 cohomology on complete hypersurfaces in Euclidean spaces
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DOI：
10.1007/s00013-015-0791-0
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发表时间：
2015-07
影响因子：
0.6
通讯作者：
P. Zhu;Wenzhen Gan;Jiuru Zhou
中科院分区：
文献类型：
--
作者：
P. Zhu;Wenzhen Gan;Jiuru Zhou
讨论了欧氏空间中具有有限全曲率的完备非紧超曲面。证明了约化L2上同调空间具有有限维。这个结果是卡龙的结果的改进，没有了平均曲率的限制.它也是Cavalcante，Mirandola和Vitório的结果从L2调和1-形式推广到L2调和p-形式的推广（）。
We discuss complete noncompact hypersurfaces in the Euclidean spacewith finite total curvature. We obtain that the reducedL2cohomology space has finite dimension. This result is an improvement of Carron’s result without the restriction of mean curvature. It is also a generalization of the result of Cavalcante, Mirandola, and Vitório from the case ofL2harmonic 1-forms to the case ofL2harmonicp-forms ().