scholarly journals Cohomology complex projective space with degree one codimension-two fixed submanifolds

1996 ◽  
Vol 173 (2) ◽  
pp. 387-401
Author(s):  
Karl Dovermann ◽  
Robert D. Little
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Codimension Two ◽  
Cohomology Complex ◽  
Complex Projective

scholarly journals Regular cyclic actions on complex projective space with codimension-two fixed points

1998 ◽  
Vol 65 (1) ◽  
pp. 51-67 ◽  
Author(s):  
Robert D. Little
Keyword(s):  
Fixed Point ◽  
Projective Space ◽  
Fixed Points ◽  
Cyclic Group ◽  
Complex Projective Space ◽  
Fixed Point Set ◽  
Codimension Two ◽  
Point Set ◽  
Isolated Point ◽  
Complex Projective

AbstractIfM2nis a cohomologyCPnandPis an odd prime, letGpbe the cyclic group of orderp. A TypeI I0Gpaction onM2nis an action with fixed point set a codimension-2 submanifold and an isolated point. A TypeI I0Gpaction is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M2nadmits a standardGpaction of TypeI I0, then every TypeI I0GpactionM2nis standard and so, if n is odd,CPnadmits aGpaction of TypeI I0if and only if the action is standard.

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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