Geodesic
Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians
Filomat, Tome 37 (2023) no. 3, p. 915

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DOI

In complex two-plane Grassmannians G 2 (C m+2) = SU 2+m /S(U 2 ·U m), it is known that a real hyper-surface satisfying the condition (ˆ L (k) ξ R ξ)Y = (L ξ R ξ)Y is locally congruent to an open part of a tube around a totally geodesic G 2 (C m+1) in G 2 (C m+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU 2,m /S(U 2 ·U m) and give a complete classification of Hopf real hypersurfaces in SU 2,m /S(U 2 ·U m) with the above condition.
DOI : 10.2298/FIL2303915P
Classification : 53C40, 53C15
Keywords: Real hypersurface, Complex hyperbolic two-plane Grassmannian, Hopf hypersurface, Generalized Tanaka-Webster connection, Structure Jacobi operator, Generalized Tanaka-Webster Lie derivative 
Eunmi Pak; Gyu Jong Kim. Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians. Filomat, Tome 37 (2023) no. 3, p. 915 . doi: 10.2298/FIL2303915P
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     author = {Eunmi Pak and Gyu Jong Kim},
     title = {Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane {Grassmannians}},
     journal = {Filomat},
     pages = {915 },
     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303915P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303915P/}
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