Acta Mathematica Hungarica features papers covering most areas of mathematics and, in particular, from those whose work is related to the advances being made by Hungarian mathematicians. It publishes mainly pure mathematics, but occasionally papers of a more applied nature appear in the journal providing they have a non-trivial mathematical content.  Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences. It is now established as an international journal of repute.

Acta mathematica Hungarica

In this paper we prove that there does not exist any Hopf real hypersurface in complex hyperbolic two-plane Grassmannians with parallel Ricci tensor.

Real hypersurfaces in complex hyperbolic two-plane Grassmannians with parallel Ricci tensor

We give a characterization of real hypersurfaces in complex two-plane Grassmannians for witch the shape operator A satisfles a com- mutative relation with structure tensors ' and '1.

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Real hypersurfaces in complex two-plane Grassmannians

http://webbuild.knu.ac.kr/~yjsuh/Publications/2010/10RicCom(FinalFull)GEOPHY1726.pdf

Real hypersurfaces in complex two-plane Grassmannians with commuting Ricci tensor

We give some non-existence theorems for Hopf real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) with parallel structure Jacobi operator Rξ.

/pdf/real-hypersurfaces-in-complex-two-plane-grassmannians-with-4a8p9xww2t.pdf

Real hypersurfaces in complex two-plane grassmannians with parallel structure Jacobi operator

In this paper, we have considered new commuting conditions, that is, (R ξ ϕ)S = S(R ξ ϕ) (resp \((\bar{R}_{N}\phi )S = S(\bar{R}_{N}\phi )\)) between the Jacobi operators R ξ (resp \(\bar{R}_{N}\)), the structure tensor field ϕ and the Ricci tensor S for real hypersurfaces M in \(G_{2}(\mathbb{C}^{m+2})\) With such a condition we give a complete classification of Hopf hypersurfaces M in \(G_{2}(\mathbb{C}^{m+2})\)

/pdf/real-hypersurfaces-in-complex-two-plane-grassmannians-with-4ixk33m6ps.pdf

Real hypersurfaces in complex two-plane Grassmannians with commuting normal Jacobi operator

The purpose of this paper is to classify real hypersurfaces of quaternionic projective spaces whose Ricci tensor satisfy a pair of conditions on the maximal quaternionic distribution \(\mathfrak{D}^ \bot = Span\left\{ {U_1 ,U_2 ,U_3 } \right\}\).

Certain Conditions on the Ricci Tensor of Real Hypersurfaces in Quaternionic Projective Spaces

The purpose of this paper is to give a non-existence property with the Lie derivative of the structure tensors φi and some characterizations of real hypersurfaces of type A1, A2 in a quaternionic projective space QPm in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D⊥ = Span {U2, U2, U3}.

J. De Dios Pérez

Papers

Real hypersurfaces in complex two-plane Grassmannians with commuting normal Jacobi operator

Certain Conditions on the Ricci Tensor of Real Hypersurfaces in Quaternionic Projective Spaces

Some Conditions on Real Hypersurfaces in Quaternionic Projective Spaces in Terms of Lie Derivatives