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REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH 𝔇 ⊥ -PARALLEL STRUCTURE JACOBI OPERATOR

2010; World Scientific; Volume: 22; Issue: 05 Linguagem: Inglês

10.1142/s0129167x11006957

1793-6519

Imsoon Jeong, Carlos J. G. Machado, Juan de Dios Pérez, Young Jin Suh,

Nonlinear Waves and Solitons

In this paper we give some non-existence theorems for Hopf real hypersurfaces in complex two-plane Grassmannians G 2 (ℂ m+2 ) with 𝔇 ⊥ -parallel structure Jacobi operator, where 𝔇 ⊥ = Span {ξ 1 , ξ 2 , ξ 3 }.