排序方式: 共有14条查询结果,搜索用时 15 毫秒
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关于四元射影空间的实超曲面 总被引:1,自引:0,他引:1
东瑜昕 《数学年刊A辑(中文版)》1993,(1)
本文研究四元射影空间的实超曲面。从不同的角度刻划了由Lawson构造的一类广义超球面。 相似文献
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东瑜昕 《数学年刊A辑(中文版)》1998,(1)
本文利用Hsiang和Lawson的余齐性方法构造了CP2中无穷多个等变极小环,并刻划了Cliford环面. 相似文献
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复射影空间中的CR-子流形 总被引:2,自引:0,他引:2
本文从整体的角度研究了复射影空间中某类典型的CR-子流形,建立了若干积分公式和积分不等式,还得到了一些Pinching结果. 相似文献
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本文利用复射影空间到欧氏空间的第一标准嵌入,对于复射影空间的子流形建立了一种广义的Gauss映照,并给出了这种广义的Gau8s映照是调和映照和相对仿射映照的条件。 相似文献
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We estimate the number of disjoint open subsets in Rn, which can support area-decreasing minimal graphs. This result generalizes the related results of Li-Wang and Tkachev for minimal hypersurfaces to higher codimensional case. 相似文献
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In this article, we construct some spacelike austere submanifolds in pseduoEuclidean spaces. We also get some indefinite special Lagrangian submanifolds by constructing twisted normal bundle of spacelike austere submanifolds in pseduo-Euclidean spaces. 相似文献
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We concentrate on using the traceless Ricci tensor and the Bochner curvature tensor to study the rigidity problems for complete K?hler manifolds. We derive some elliptic differential inequalities from Weitzenb?ck formulas for the traceless Ricci tensor of K?hler manifolds with constant scalar curvature and the Bochner tensor of K?hler-Einstein manifolds respectively. Using elliptic estimates and maximum principle, several L~p and L~∞ pinching results are established to characterize K?hler-Einstein manifolds among K?hler manifolds with constant scalar curvature and complex space forms among K?hler-Einstein manifolds.Our results can be regarded as a complex analogues to the rigidity results for Riemannian manifolds. Moreover, our main results especially establish the rigidity theorems for complete noncompact K?hler manifolds and noncompact K?hler-Einstein manifolds under some pointwise pinching conditions or global integral pinching conditions. To the best of our knowledge,these kinds of results have not been reported. 相似文献
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