排序方式: 共有6条查询结果,搜索用时 6 毫秒
1
1.
We study real minimal surfaces : M2 4 under the hypothesisthat the holomorphic Gauss map of the immersion is invariantby a holomorphic foliation with singularities. We give a sortof HuberOsserman theorem regarding the algebraicity ofthe holomorphic Gauss map. 相似文献
2.
3.
We prove that a transversely holomorphic foliation on a compact manifold exhibits some compact leaf with finite holonomy group, provided that the set of compact leaves is not a zero measure set. A similar result is stated for groups of complex diffeomorphisms and periodic orbits. 相似文献
4.
In this article, we study holomorphic vector fields transverseto the boundary of a polydisc in n, n 3. We prove that, undera suitable hypothesis of transversality with the boundary ofthe polydisc, the foliation is the pull-back of a linear hyperbolicfoliation via a locally injective holomorphic map. This is then 3 version for one-dimensional foliations of a previous resultproved for n = 2 by Brunella and Sad and for codimension-onefoliations by Ito and Scárdua. 相似文献
5.
6.
In this paper we address the following questions: (i) Let \({C \subset \mathbb{C}^2}\) be an orbit of a polynomial vector field which has finite total Gaussian curvature. Is C contained in an algebraic curve? (ii) What can be said of a polynomial vector field which has a finitely curved transcendent orbit? We give a positive answer to (i) under some non-degeneracy conditions on the singularities of the projective foliation induced by the vector field. For vector fields with a slightly more general class of singularities we prove a classification result that captures rational pull-backs of Poincaré-Dulac normal forms. 相似文献
1