Article citationsMore>>

I. Jeong, J. D. Pérez and Y.-J. Suh, “Real Hypersurfaces in Complex Two-Plane Grassmannians with Commuting Normal Jacobi Operator,” Acta Mathematica Hungarica, Vol. 117, No. 3, 2007, pp. 201-217. doi:10.1007/s10474-007-6091-9

has been cited by the following article:

• TITLE: Real Hypersurfaces in Complex Two-Plane Grassmannians Whose Jacobi Operators Corresponding to -Directions are of Codazzi Type

  AUTHORS: Carlos J. G. Machado, Juan de Dios Pérez, Young Jin Suh

  KEYWORDS: Real Hypersurfaces, Complex Two-Plane Grassmannians, Jacobi Operators, Codazzi Type

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.3, June 3, 2011

  ABSTRACT: We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose Jacobi operators or the Jacobi corresponding to the directions in the distribution are of Codazzi type if they satisfy a further condition. We obtain that that they must be either of type (A) or of type (B) (see [2]), but no one of these satisfies our condition. As a consequence, we obtain the non-existence of Hopf real hypersurfaces in such ambient spaces whose Jacobi operators corresponding to -directions are parallel with the same further condition.