Density Estimates for Compact Surfaces with Total Boundary Curvature Less Than 4p
Density Estimates for Compact Surfaces with Total Boundary Curvature Less Than 4p
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总边界曲率小于 4p 的致密表面的密度估计
DOI：
10.1080/03605302.2012.686550
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发表时间：
2012
影响因子：
1.9
通讯作者：
Bourni T
中科院分区：
文献类型：
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作者：
Bourni T
本文得到了浸入在一个总边界曲率小于4π，且平均曲率的lpnorm足够小，p≥2，且总边界曲率小于4π的紧曲面的密度估计。事实上，我们证明这些估计适用于紧凑的分支浸入。我们的结果推广了。然后我们应用我们的估计来讨论这些曲面的几何和拓扑结构。
In this paper we obtain density estimates for compact surfaces immersed in ℝnwith total boundary curvature less than 4π and with sufficiently smallLpnorm of the mean curvature,p≥ 2. In fact we show that these estimates hold for compact branched immersions. Our results generalize the main results in . We then apply our estimates to discuss the geometry and topology of such surfaces.