scholarly journals Rational functions of $\left( {0,1} \right)$-type on the two-dimensional complex projective space

1982 ◽  
Vol 58 (5) ◽  
pp. 200-203 ◽  
Author(s):  
Hiroko Kashiwara
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Rational Functions ◽  
Two Dimensional ◽  
Complex Projective

scholarly journals On the geometry of bifurcation currents for quadratic rational maps

2014 ◽  
Vol 35 (5) ◽  
pp. 1369-1379 ◽  
Author(s):  
FRANÇOIS BERTELOOT ◽  
THOMAS GAUTHIER
Keyword(s):  
Projective Space ◽  
Moduli Space ◽  
Complex Projective Space ◽  
The Self ◽  
Rational Maps ◽  
Two Dimensional ◽  
Lelong Numbers ◽  
Complex Projective

We describe the behaviour at infinity of the bifurcation current in the moduli space of quadratic rational maps. To this purpose, we extend it to some closed, positive $(1,1)$-current on a two-dimensional complex projective space and then compute the Lelong numbers and the self-intersection of the extended current.

scholarly journals CR-SUBMANIFOLDS OF TWO DIMENSIONAL COMPLEX PROJECTIVE SPACE

1990 ◽  
Vol 21 (2) ◽  
pp. 171-175
Author(s):  
SHARIEF DESHMUKH ◽  
M. A. AL-GWAIZ
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Two Dimensional ◽  
Complex Projective ◽  
Cr Submanifolds

CR-SUBMANIFOLDS OF TWO DIMENSIONAL COMPLEX PROJECTIVE SPACE

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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