Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster $$\mathfrak{D}^ \bot$$-parallel structure Jacobi operator

• Autorzy: Eunmi Pak , Young Suh
• Języki publikacji: EN

Abstrakty

EN

Regarding the generalized Tanaka-Webster connection, we considered a new notion of $$\mathfrak{D}^ \bot$$-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 $$\mathfrak{D}^ \bot$$-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.

Słowa kluczowe

EN

Complex two-plane Grassmannian; Hopf hypersurface; Generalized Tanaka-Webster connection; Structure Jacobi operator

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C40: Global submanifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 12
• Strony: 1840-1851

Daty

wydano

2014-12-01

online

2014-07-20

Twórcy

autor

Eunmi Pak

• Kyungpook National University

autor

Young Suh

• Kyungpook National University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0447-5