Self-Duality and Connected Sums of Complex Projective Planes

2017 ◽  
pp. 133-144
Author(s):  
Henrik Pedersen
Keyword(s):  
Projective Planes ◽  
Connected Sums ◽  
Self Duality ◽  
Complex Projective

scholarly journals Real Hypersurfaces of Nonflat Complex Projective Planes Whose Jacobi Structure Operator Satisfies a Generalized Commutative Condition

2016 ◽  
Vol 2016 ◽  
pp. 1-6
Author(s):  
Theocharis Theofanidis
Keyword(s):  
Projective Plane ◽  
Projective Planes ◽  
Additional Restriction ◽  
Real Hypersurfaces ◽  
Specific Function ◽  
Complex Projective Plane ◽  
Jacobi Structure ◽  
Complex Projective

Real hypersurfaces satisfying the conditionϕl=lϕ(l=R(·,ξ)ξ)have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified. The aim of the present paper is the classification of real hypersurfaces in complex projective planeCP2satisfying a generalization ofϕl=lϕunder an additional restriction on a specific function.

scholarly journals Four-manifolds up to connected sum with complex projective planes

2022 ◽  
Vol 144 (1) ◽  
pp. 75-118
Author(s):  
Daniel Kasprowski ◽  
Mark Powell ◽  
Peter Teichner
Keyword(s):  
Projective Planes ◽  
Connected Sum ◽  
Four Manifolds ◽  
Complex Projective

Examples of real hypersurfaces with two principal curvatures in complex projective planes

2015 ◽  
Vol 12 (08) ◽  
pp. 1560013 ◽  
Author(s):  
J. Carlos Díaz Ramos ◽  
Cristina Vidal-Castiñeira
Keyword(s):  
Projective Plane ◽  
Projective Planes ◽  
Real Hypersurfaces ◽  
Complex Projective Plane ◽  
Principal Curvatures ◽  
Complex Projective

We give examples of real hypersurfaces with two distinct principal curvatures in the complex projective plane ℂP2.

scholarly journals Surfaces of Section for Seifert Fibrations

2021 ◽  
Author(s):  
Bernhard Albach ◽  
Hansjörg Geiges
Keyword(s):  
Algebraic Curves ◽  
Projective Planes ◽  
The Other ◽  
Branched Coverings ◽  
Complex Projective

AbstractWe classify global surfaces of section for flows on 3-manifolds defining Seifert fibrations. We discuss branched coverings—one way or the other—between surfaces of section for the Hopf flow and those for any other Seifert fibration of the 3-sphere, and we relate these surfaces of section to algebraic curves in weighted complex projective planes.

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