scholarly journals Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes

2015 ◽  
Vol 65 (6) ◽  
pp. 2547-2569 ◽  
Author(s):  
Masanori Adachi ◽  
Judith Brinkschulte
Keyword(s):  
Projective Planes ◽  
Real Hypersurfaces ◽  
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.

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.

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel

2013 ◽  
Vol 56 (2) ◽  
pp. 306-316 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Complex Projective

AbstractWe prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie 𝔻-parallel and satisfies a further condition.

scholarly journals A note on real hypersurfaces of a complex projective space

1989 ◽  
Vol 47 (1) ◽  
pp. 108-113 ◽  
Author(s):  
Jung-Hwan Kwon ◽  
Hisao Nakagawa
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurfaces ◽  
Harmonic Curvature ◽  
Complex Projective

AbstractWe study real hypersurfaces of a complex projection space and show that there are no such hypersurfaces with harmonic curvature on which the structure vector is principal.

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