On the Riemannian curvature tensor of a real hypersurface in a complex projective space

2016 ◽  
Vol 289 (17-18) ◽  
pp. 2263-2272 ◽  
Author(s):  
Juan de Dios Pérez
Keyword(s):  
Projective Space ◽  
Curvature Tensor ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Riemannian Curvature ◽  
Riemannian Curvature Tensor ◽  
Complex Projective

scholarly journals A MINIMAL REAL HYPERSURFACE OF A COMPLEX PROJECTIVE SPACE WITH NONNEGATIVE SECTIONAL CURVATURE

2010 ◽  
Vol 81 (3) ◽  
pp. 488-492
Author(s):  
MAYUKO KON
Keyword(s):  
Projective Space ◽  
Sectional Curvature ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Nonnegative Sectional Curvature ◽  
Complex Projective

AbstractWe give a characterization of a minimal real hypersurface with respect to the condition for the sectional curvature.

scholarly journals A~characterization of a~certain real hypersurface of type $({\rm A}_2)$ in a~complex projective space

2017 ◽  
Vol 67 (1) ◽  
pp. 271-278
Author(s):  
Byung Hak Kim ◽  
In-Bae Kim ◽  
Sadahiro Maeda
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Complex Projective

scholarly journals Real hypersurfaces of a complex projective space II

1984 ◽  
Vol 30 (1) ◽  
pp. 123-127 ◽  
Author(s):  
Sadahiro Maeda
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Real Hypersurfaces ◽  
Complex Projective

We consider a certain real hypersurface M of a complex projective space. The purpose of this paper is to characterize M in terms of Ricci curvatures.

Additive Riemann–Hilbert Problem in Line Bundles Over ℂℙ1

2006 ◽  
Vol 49 (1) ◽  
pp. 72-81 ◽  
Author(s):  
Roman J. Dwilewicz
Keyword(s):  
Line Bundle ◽  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Hilbert Problem ◽  
Holomorphic Functions ◽  
Riemann Function ◽  
Line Bundles ◽  
Complex Projective ◽  
Riemann Hilbert Problem

AbstractIn this note we consider -problem in line bundles over complex projective space ℂℙ1 and prove that the equation can be solved for (0, 1) forms with compact support. As a consequence, any Cauchy-Riemann function on a compact real hypersurface in such line bundles is a jump of two holomorphic functions defined on the sides of the hypersurface. In particular, the results can be applied to ℂℙ2 since by removing a point from it we get a line bundle over ℂℙ1.

scholarly journals REAL HYPERSURFACES WITH ISOMETRIC REEB FLOW IN COMPLEX QUADRICS

2013 ◽  
Vol 24 (07) ◽  
pp. 1350050 ◽  
Author(s):  
JURGEN BERNDT ◽  
YOUNG JIN SUH
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Kähler Manifolds ◽  
Real Hypersurfaces ◽  
Kahler Manifolds ◽  
Totally Geodesic ◽  
Open Part ◽  
Complex Submanifold ◽  
Complex Projective

We classify real hypersurfaces with isometric Reeb flow in the complex quadrics Qm = SOm+2/SOmSO2, m ≥ 3. We show that m is even, say m = 2k, and any such hypersurface is an open part of a tube around a k-dimensional complex projective space ℂPk which is embedded canonically in Q2k as a totally geodesic complex submanifold. As a consequence, we get the non-existence of real hypersurfaces with isometric Reeb flow in odd-dimensional complex quadrics Q2k+1, k ≥ 1. To our knowledge the odd-dimensional complex quadrics are the first examples of homogeneous Kähler manifolds which do not admit a real hypersurface with isometric Reeb flow.

scholarly journals On the structure Jacobi operator of a real hypersurface in complex projective space

2008 ◽  
Author(s):  
Hyun Jin Lee ◽  
Juan de Dios Pérez ◽  
Florentino G. Santos ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurface ◽  
Jacobi Operator ◽  
Structure Jacobi Operator ◽  
Complex Projective
Sign in / Sign up

Export Citation Format

Share Document