# Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster ${\U0001d507}^{\perp}$ -parallel structure Jacobi operator

Open Mathematics (2014)

- Volume: 12, Issue: 12, page 1840-1851
- ISSN: 2391-5455

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topEunmi Pak, and Young Suh. "Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster \[\mathfrak {D}^ \bot \] -parallel structure Jacobi operator." Open Mathematics 12.12 (2014): 1840-1851. <http://eudml.org/doc/269674>.

@article{EunmiPak2014,

abstract = {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.},

author = {Eunmi Pak, Young Suh},

journal = {Open Mathematics},

keywords = {Complex two-plane Grassmannian; Hopf hypersurface; Generalized Tanaka-Webster connection; Structure Jacobi operator; complex two-plane Grassmannian; generalized Tanaka-Webster connection; structure Jacobi operator},

language = {eng},

number = {12},

pages = {1840-1851},

title = {Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster \[\mathfrak \{D\}^ \bot \] -parallel structure Jacobi operator},

url = {http://eudml.org/doc/269674},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Eunmi Pak

AU - Young Suh

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

JO - Open Mathematics

PY - 2014

VL - 12

IS - 12

SP - 1840

EP - 1851

AB - 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.

LA - eng

KW - Complex two-plane Grassmannian; Hopf hypersurface; Generalized Tanaka-Webster connection; Structure Jacobi operator; complex two-plane Grassmannian; generalized Tanaka-Webster connection; structure Jacobi operator

UR - http://eudml.org/doc/269674

ER -

## References

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