scholarly journals Pseudoconvex domains of general order and $q$-convex domains in the complex projective space

1993 ◽  
Vol 33 (3) ◽  
pp. 685-695 ◽  
Author(s):  
Kazuko Matsumoto
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Pseudoconvex Domains ◽  
Convex Domains ◽  
General Order ◽  
Complex Projective

scholarly journals The ∂ Cauchy-Problem on Weakly q-Convex Domains in CPn

2020 ◽  
Vol 44 (4) ◽  
pp. 581-591
Author(s):  
SAYED SABER
Keyword(s):  
Cauchy Problem ◽  
Projective Space ◽  
Complex Projective Space ◽  
Function Method ◽  
Function Theory ◽  
Convex Domains ◽  
The Cauchy Problem ◽  
Support Conditions ◽  
The Neumann Problem ◽  
Complex Projective

Let D be a weakly q-convex domain in the complex projective space ℂPn. In this paper, the (weighted) ∂-Cauchy problem with support conditions in D is studied. Specifically, the modified weight function method is used to study the L2 existence theorem for the ∂-Neumann problem on D. The solutions are used to study function theory on weakly q-convex domains via the ∂-Cauchy 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
Sign in / Sign up

Export Citation Format

Share Document