scholarly journals A Kummer type construction of self-dual metrics on the connected sum of four complex projective planes

2000 ◽  
Vol 52 (1) ◽  
pp. 139-160 ◽  
Author(s):  
Nobuhiro HONDA ◽  
Mitsuhiro ITOH
Keyword(s):  
Projective Planes ◽  
Connected Sum ◽  
Construction Of Self ◽  
Type Construction ◽  
Complex Projective

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

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.

On knotted real projective planes

2015 ◽  
Vol 24 (10) ◽  
pp. 1540011
Author(s):  
Yongju Bae ◽  
Seonmi Choi ◽  
Akio Kawauchi
Keyword(s):  
Projective Planes ◽  
Connected Sum ◽  
The Relationship

Let [Formula: see text] be a hyperbolic transformation. Let B be a new band attaching to L such that [Formula: see text] is also a hyperbolic transformation. In this paper, we will study the relationship between the realizing surfaces [Formula: see text] and [Formula: see text]. If B is a noncoherent band to both L and [Formula: see text] such that [Formula: see text] is defined, then [Formula: see text] and [Formula: see text] are ambient isotopic, where RP2 is one of the standard real projective planes. We will study the triviality of [Formula: see text] because as an application, RP2 can untangle some knotted sphere [Formula: see text] with suitable conditions, when it is attached to [Formula: see text] by the connected sum.

Sign in / Sign up

Export Citation Format

Share Document