Non-integrated defect relation for meromorphic maps from a Kahler manifold intersecting hypersurfaces in subgeneral of Pn(C)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:452

Article

Si Duc Quang^1,2  Nguyen Thi Quynh Phuong¹  Nguyen Thi Nhung³ 

[1] Hanoi Natl Univ Educ, Dept Math, 186 Xuan Thuy, Hanoi, Vietnam

[2] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

[3] Thang Long Univ, Dept Math, Hanoi, Vietnam

关键词: Nevanlinna;    Second main theorem;    Meromorphic mapping;    Non-integrated defect relation;   

DOI  :  10.1016/j.jmaa.2017.03.049

来源: Elsevier

【 摘 要 】

In this article, we establish a truncated non-integrated defect relation for meromorphic mappings from an m-dimensional complete Kahler manifold into P-n(C) intersecting q hypersurfaces Q(1), .., Q(q) in k-subgeneral position of degree d(i), i.e., the intersection of any k + 1 hypersurfaces is emptyset. We will prove that (q)Sigma(i=1) delta([u-1])(f) (Q(i)) <= (k - n +1) (n + 1) + epsilon + rho u(u - 1)/d, where u is explicitly estimated and d is the least common multiple of d(i)'s. Our result generalizes and improves previous results. In the last part of this paper we will apply this result to study the distribution of the Gauss map of minimal surfaces. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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