scholarly journals Hyperbolicity of the complement of arrangements of non complex lines

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 3109-3118
Author(s):  
Fathi Haggui ◽  
Abdessami Jalled
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
The Other ◽  
Holomorphic Curves ◽  
Real Dimension ◽  
Kobayashi Hyperbolicity ◽  
Other Hand ◽  
Complex Lines ◽  
Complex Projective ◽  
Real Subspace

The goal of this paper is twofold. We study holomorphic curves f:C ? C3 avoiding four complex hyperplanes and a real subspace of real dimension five in C3 where we study the cases where the projection of f into the complex projective space CP2 is constant. On the other hand, we investigate the kobayashi hyperbolicity of the complement of five perturbed lines in CP2.

scholarly journals Uniqueness polynomials for holomorphic curves into the complex projective space

Filomat ◽  
2020 ◽  
Vol 34 (2) ◽  
pp. 351-356
Author(s):  
Liu Yang
Keyword(s):  
Projective Space ◽  
Complex Plane ◽  
Complex Projective Space ◽  
Meromorphic Functions ◽  
Holomorphic Curves ◽  
Complex Projective

In this paper, by making use of uniqueness polynomials for meromorphic functions, we obtain a class of uniqueness polynomials for holomorphic curves from the complex plane into complex projective space. The related uniqueness problems are also considered.

On projective spaces over two skew fields

1966 ◽  
Vol 62 (3) ◽  
pp. 395-398
Author(s):  
R. H. F. Denniston
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Classical Problem ◽  
Projective Spaces ◽  
The Other ◽  
Real Projective Space ◽  
Skew Fields ◽  
Complex Projective

Introduction. It is a classical problem to construct a complex projective space, using as ‘imaginary points’ objects of some kind from the geometry of real projective space. (The various solutions to this problem have been reviewed in a book by Coolidge ((1)).) The object of the present paper is to solve the corresponding problem for n-dimensional projective spaces over two skew fields, one being a second-rank extension of the other. The method used seems not to have been published before, even in connexion with the classical problem.

scholarly journals From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space

2002 ◽  
Vol 66 (3) ◽  
pp. 465-475 ◽  
Author(s):  
J. Bolton ◽  
C. Scharlach ◽  
L. Vrancken
Keyword(s):  
Projective Space ◽  
Minimal Surface ◽  
Complex Projective Space ◽  
Lagrangian Submanifold ◽  
3 Dimensional ◽  
Ellipse Of Curvature ◽  
Complex Projective

In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.

Reduction theorem of the codimension of minimal generic submanifolds in a complex projective space

1995 ◽  
Vol 54 (2) ◽  
pp. 137-143
Author(s):  
Sung-Baik Lee ◽  
Seung-Gook Han ◽  
Nam-Gil Kim ◽  
Masahiro Kon
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Reduction Theorem ◽  
Generic Submanifolds ◽  
Complex Projective
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