Book ChapterDOI
Real Hypersurfaces in Hermitian Symmetric Space of Rank Two with Killing Shape Operator
Ji-Eun Jang,Young Jin Suh,Changhwa Woo +2 more
- pp 273-282
TLDR
In this paper, a new notion of the shape operator A satisfies the Killing tensor type for real hypersurfaces M in complex Grassmannians of rank two has been proposed, and it has been shown that the existence of such hypersurface M in these Grassmannian structures is not provable.Abstract:
We have considered a new notion of the shape operator A satisfies Killing tensor type for real hypersurfaces M in complex Grassmannians of rank two. With this notion we prove the non-existence of real hypersurfaces M in complex Grassmannians of rank two.read more
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Journal ArticleDOI
The ricci tensor of real hypersurfaces in complex two-plane grassmannians
Perez Juan De Dios,Suh Young-Jin +1 more
TL;DR: In this article, the Ricci tensor of a real hypersurface M in complex two-plane Grassmannians G 2 (C m +2 ) was derived from the equation of Gauss.
Journal ArticleDOI
Real hypersurfaces of type b in complex two-plane grassmannians related to the reeb vector
Hyunjin Lee,Young Jin Suh +1 more
TL;DR: In this article, the authors give a characterization of real hyper-surface of type B, that is, a tube over a totally geodesic QP n in complex two-plane Grassmannians G2(C m+2 ), where m = 2n, with the Reeb vec- tor belonging to the distribution D, where D denotes a subdistribution in the tangent space such that TxM = D'D? for any point x 2 M and D? = Span{»1,»2,»3 }.
Journal ArticleDOI
Hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians
TL;DR: It is shown that the real hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians SU"2","m/S(U"[email protected]?U"m), m>=2.