scholarly journals Extrinsic Characterizations of Circles in a Complex Projective Space Imbedded in a Euclidean Space

1996 ◽  
Vol 19 (1) ◽  
pp. 169-185 ◽  
Author(s):  
Bang-Yen CHEN ◽  
Sadahiro MAEDA
Keyword(s):  
Euclidean Space ◽  
Projective Space ◽  
Complex Projective Space ◽  
Complex Projective

scholarly journals On the deficiencies of meromorphic mappings of Cn into PNC

1977 ◽  
Vol 67 ◽  
pp. 165-176 ◽  
Author(s):  
Seiki Mori
Keyword(s):  
Euclidean Space ◽  
Projective Space ◽  
Complex Projective Space ◽  
Meromorphic Mapping ◽  
Meromorphic Mappings ◽  
Complex Euclidean Space ◽  
Complex Projective

Let f(z) be a non-degenerate meromorphic mapping of the n-dimensional complex Euclidean space Cn into the N-dimensional complex projective space PNC. A generalization of results of Edrei-Fuchs [2] for meromorphic mappings of C into PNC was given by Toda [5], and an estimate of K(λ) for meromorphic mappings of Cn into PNC was done by Noguchi [4]. In this note we generalize several results of Edrei-Fuchs [2] in the case of meromorphic mappings of Cn into PNC.

Approximation by Rational Mappings, via Homotopy Theory

2006 ◽  
Vol 49 (2) ◽  
pp. 237-246 ◽  
Author(s):  
P. M. Gauthier ◽  
E. S. Zeron
Keyword(s):  
Euclidean Space ◽  
Projective Space ◽  
Complex Projective Space ◽  
Homotopy Theory ◽  
Continuous Mappings ◽  
Complex Euclidean Space ◽  
Complex Projective ◽  
Compact Subsets

AbstractContinuous mappings defined from compact subsets K of complex Euclidean space ℂn into complex projective space ℙm are approximated by rational mappings. The fundamental tool employed is homotopy theory.

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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