共查询到20条相似文献,搜索用时 22 毫秒
1.
Young Jin Suh 《Acta Mathematica Hungarica》2006,112(1-2):89-102
Summary We introduce the notion of recurrent shape operator for a real hypersurface M in the complex two-plane Grassmannians G2(Cm+2) and give a non-existence property of real hypersurfaces in G2(Cm+2) with the recurrent shape operator. 相似文献
2.
Carlos J. G. Machado Juan de Dios Pérez Imsoon Jeong Young Jin Suh 《Central European Journal of Mathematics》2011,9(3):578-582
We prove the non-existence of real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi
type. 相似文献
3.
Commuting structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians 下载免费PDF全文
We classify real hypersurfaces in complex two-plane Grassmannians whose structure Jacobi operator commutes either with any other Jacobi operator or with the normal Jacobi operator. 相似文献
4.
Hopf Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka–Webster D-Parallel Shape Operator 下载免费PDF全文
In this paper, we consider a new notion of generalized Tanaka–Webster D-parallel shape operator for a real hypersurface in a complex two-plane Grassmannian and prove a non-existence theorem of a real hypersurface. 相似文献
5.
Reeb parallel Ricci tensor for homogeneous real hypersurfaces in complex hyperbolic two‐plane Grassmannians 下载免费PDF全文
In this paper, we introduce the notion of Reeb parallel Ricci tensor for homogeneous real hypersurfaces in complex hyperbolic two‐plane Grassmannians which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. By using a new method of simultaneous diagonalizations, we give a complete classification for real hypersurfaces in complex hyperbolic two‐plane Grassmannians with the Reeb parallel Ricci tensor. 相似文献
6.
We give some non-existence theorems for Hopf real hypersurfaces in complex two-plane Grassmannians G 2(? m+2) with parallel structure Jacobi operator R ξ. 相似文献
7.
We give a pinching condition for compact minimal hypersurfaces in complex two-plane Grassmannians G 2(? m+2) in terms of sectional curvature and the squared norm of the shape operator. 相似文献
8.
We give a non-existence theorem for Hopf hypersurfaces in complex two-plane Grassmannians G 2(? m+2) whose structure Jacobi operator R ξ is of Codazzi type. 相似文献
9.
《Mathematische Nachrichten》2018,291(10):1574-1594
In this paper, first we introduce a new notion of pseudo anti commuting Ricci tensor for real hypersurfaces in complex hyperbolic two‐plane Grassmannians and prove a complete classification theorem that such a hypersurface must be a tube over a totally real totally geodesic , , a horosphere whose center at the infinity is singular or an exceptional case. 相似文献
10.
Miguel Ortega Juan de dios Pérez Young Jin Suh 《Czechoslovak Mathematical Journal》2000,50(3):531-537
We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature. 相似文献
11.
We give a complete classification of -invariant real hypersurfaces in complex two-plane Grassmannians G
2(C
m+2) with commuting normal Jacobi operator .
The first author was supported by MCYT-FEDER grant BFM 2001-2871-C04-01, the second author by grant Proj. No. KRF-2006-351-C00004
from Korea Research Foundation and the third author by grant Proj. No. R14-2002-003-01001-0 from Korea Research Foundation,
Korea 2006 and Proj. No. R17-2007-006-01000-0 from KOSEF. 相似文献
12.
We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2,m/S(U2·U m ) with commuting conditions between the restricted normal Jacobi operator \({\bar R_{N\varphi }}\) and the shape operator A (or the Ricci tensor S). 相似文献
13.
Young Jin Suh 《Monatshefte für Mathematik》2006,147(4):337-355
In this paper we give a characterization of real hypersurfaces of type B, that is, a tube over a totally real totally geodesic
in complex two-plane Grassmannians
with the shape operator A satisfying Aφ + φA = kφ, k is non-zero constant, for the structure tensor φ. 相似文献
14.
The complex two-plane Grassmannian G
2(C
m+2
in equipped with both a K?hler and a quaternionic K?hler structure. By applying these two structures to the normal bundle
of a real hypersurface M in G
2(C
m+2
one gets a one- and a three-dimensional distribution on M. We classify all real hypersurfaces M in G
2
C
m+2
, m≥3, for which these two distributions are invariant under the shape operator of M.
Received 13 November 1996; in revised form 3 March 1997 相似文献
15.
Miguel Ortega Juan de Dios Pérez Young Jin Suh 《Czechoslovak Mathematical Journal》2006,56(2):377-388
In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space
form M
m
(c), c ≠ 0 as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional
curvature given in [11]. 相似文献
16.
We characterize homogeneous real hypersurfaces M's of type (A
1), (A
2) and (B) of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution T
0
M of M. 相似文献
17.
In this paper we prove that there does not exist any Hopf real hypersurface in complex hyperbolic two‐plane Grassmannians with parallel Ricci tensor. 相似文献
18.
In this paper we consider a new notion of ${\mathfrak{D}^{\bot}}$ -parallel shape operator for real hypersurfaces in complex two-plane Grassmannians ${G_2(\mathbb{C}^{m+2})}$ and give a non-existence theorem for a Hopf hypersurface in ${G_2(\mathbb{C}^{m+2})}$ with ${\mathfrak{D}^{\bot}}$ -parallel shape operator. 相似文献
19.
Integral curves of characteristic vector fields of real hypersurfaces in nonflat complex space forms
In this paper, we study real hypersurfaces all of whose integral curves of characteristic vector fields are plane curves in
a nonflat complex space form.
相似文献
20.
This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse
image by the Hopf fibration of a real hypersurface M in complex space form M
m(4ε). In the second, we give a complete classification of real hypersurfaces in M
m(4ε) which satisfy the above geometric facts.
The second author was supported by DGICYT research project BFM 2001-2871-C04-01 and the first and the third authors were supported
by grant Proj. No. R14-2002-003-01001-0 from Korea Research Foundation, Korea 2006. 相似文献