Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster -parallel structure Jacobi operator
Eunmi Pak, Young Suh (2014)
Open Mathematics
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Regarding the generalized Tanaka-Webster connection, we considered a new notion of -parallel structure Jacobi operator for a real hypersurface in a complex two-plane Grassmannian G 2(ℂm+2) and proved that a real hypersurface in G 2(ℂm+2) with generalized Tanaka-Webster -parallel structure Jacobi operator is locally congruent to an open part of a tube around a totally geodesic quaternionic projective space ℍP n in G 2(ℂm+2), where m = 2n.