arXiv subjects

K. Panagiotidou

Publications and source records attributed to K. Panagiotidou.

4 recordsLinked to original sources

arXiv2012

The structure Jacobi operator and the shape operator of real hypersurfaces in CP^{2} and CH^{2}

This paper presents two results conserning real hypersurfaces in CP^{2} and CH^{2}. More precisely, it is proved that real hypersurfaces equipped with structure Jacobi operator satisfying condition $\mathcal{L}_{X}l=\nabla_{X}l$, where \emph{X} is a vector field orthogonal to structure vector field $ξ$, do not exist. Additional real hypersurfaces equipped with shape operator \emph{A} satisfying relation $\mathcal{L}_{X}A=\nabla_{X}A$, where \emph{X} is a vector field orthogonal to $ξ$, do not exist.

math.DG↗

arXiv2012

Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2

We study three dimensional real hypersurfaces in CP^2 and CH^2 equipped with $xi$-parallel structure Jacobi operator. We prove that they are Hopf hypersurfaces and if additional $α\neq0$, we classify them.

math.DG↗

arXiv2012

Real Hypersurfaces in CP^2 AND CH^2 whose structure Jacobi operator is Lie D-parallel

We prove the non-existence of real hypersurfaces in CP^2 and CH^2 whose structure Jacobi operator is Lie D-parallel.

math.DG↗

arXiv2012

Real hypersurfaces equipped with pseudo-parallel structure Jacobi operator in CP^2 and CH^2

We classify real hypersurfaces in CP^2and CH^2 equipped with pseudo-parallel structure Jacobi operator.

math.DG↗