논문KCI 등재
REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR
2
조회
0
다운로드
9
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we give a new characterization of real hypersurfaces of type B, that is, a tube over a totally geodesic QPn in complex two-plane Grassmannians G2(Cm+2), where m = 2n, with the Reeb vector ξ belonging to the distribution D, where D denotes a subdistribution in the tangent space TxM such that TxM = D⊕D┴ for any point x 2 M and D┴ = Span{ ξ1, ξ2, ξ3 }.
Abstract
In this paper we give a new characterization of real hypersurfaces of type B, that is, a tube over a totally geodesic QPn in complex two-plane Grassmannians G2(Cm+2), where m = 2n, with the Reeb vector ξ belonging to the distribution D, where D denotes a subdistribution in the tangent space TxM such that TxM = D⊕D┴ for any point x 2 M and D┴ = Span{ ξ1, ξ2, ξ3 }.
참고문헌 (11)
- J. Berndt, "Riemannian geometry of complex two-plane Grassmannians", Rend. Sem. Mat. Univ. Politec. Torino, 55(1), pp.19~83 (1997)
- J. Berndt, "Real hypersurfaces with constant principal curvatures in complex space forms", Proceedings of the Tenth International Workshop on Differential Geometry (2006)
- J. Berndt, "Real hypersurfaces in complex two-plane Grassmannians", Monatsh. Math., 127(1), pp.1~14 (1999)
- J. Berndt, "Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians", Monatsh. Math., 137(2), pp.87~98 (2002)
- T. E. Cecil, "Focal sets and real hypersurfaces in complex projective space", Trans. Amer. Math. Soc., 269(2), pp.481~499 (1982)
- 정임순, "REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE ξ-PARALLEL NORMAL JACOBI OPERATOR", 대한수학회지, 45(4), pp.1113~1133 (2008), 대한수학회
- M. Kimura, "Real hypersurfaces and complex submanifolds in complex projective space", Trans. Amer. Math. Soc., 296(1), pp.137~149 (1986)
- Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator", Bull. Austral. Math. Soc., 68(3), pp.379~393 (2003)
- Y. J. Suh, "Real hypersurfaces of type B in complex two-plane Grassmannians", Monatsh. Math., 147(4), pp.337~355 (2006)
- R. Takagi, "On homogeneous real hypersurfaces in a complex projective space", Osaka J. Math., 10, pp.495~506 (1973)
- K. Yano, "CR Submanifolds of Kaehlerian and Sasakian Manifolds" (1983), Birkhauser
관련 논문AI추천
REAL HYPERSURFACES OF TYPE A IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE NORMAL JACOBI OPERATOR서영진, 정임순, Mukut Mani Tripathi대한수학회 · 대한수학회보2012 · 제49권 제2호Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator서영진, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator서영진, 양해영대한수학회 · 대한수학회보2008 · 제45권 제3호REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE ξ-PARALLEL NORMAL JACOBI OPERATOR서영진, 정임순대한수학회 · 대한수학회지2008 · 제45권 제4호Recurrent Jacobi operator of real hypersurfaces in complex two-plane Grassmannians정임순, Juan de Dios Perez, Young Jin Suh대한수학회 · 대한수학회보2013 · 제50권 제2호Hopf Hypersurfaces in Complex Two-plane Grassmannians with Generalized Tanaka-Webster Reeb-parallel Structure Jacobi Operator김병학, 박은미, 이현진경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호
이 간행물의 다른 논문 (18건)
THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAINZongxuan Chen, Zhibo Huangpp. 443-454THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS조열제, Guang He, Nan-jing Huangpp. 455-465MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACESLe Van Dung, Nguyen Duy Tienpp. 467-482A NOTE ON SEMI-SELFDECOMPOSABILITY AND OPERATOR SEMI-STABILITY IN SUBORDINATION최경숙, 김윤경, 주상열pp. 483-490STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONSMadjid Eshaghi Gordjipp. 491-502
