논문KCI 등재
Commuting structure Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we give a non-existence theorem for Hopf real hypersurfaces in complex two-plane Grassmannians G_(2)(C^(m+2)) satisfying the condition that the structure Jacobi operator R_(ξ) commutes with the 3-structure tensors Φ_(i),i=1,2,3.
Abstract
In this paper we give a non-existence theorem for Hopf real hypersurfaces in complex two-plane Grassmannians G_(2)(C^(m+2)) satisfying the condition that the structure Jacobi operator R_(ξ) commutes with the 3-structure tensors Φ_(i),i=1,2,3.
참고문헌 (9)
- D. V. Alekseevskii, "Compact quaternion spaces", Funkcional. Anal. i Priloˇzen, 2(2), pp.11~20 (1968)
- J. Berndt, "Real hypersurfaces in quaternionic space forms", J. Reine Angew. Math, 419, pp.9~26 (1991)
- 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)
- U-Hang KiJuan De Dios P'erezFlorentino G. SantosY, "Real hypersurfaces in complex spaceforms with xi-parallel Ricci tensor and structure Jacobioperator", 대한수학회지, 44(2), pp.307~326 (2007), 대한수학회
- M. Kimura, "Real hypersurfaces and complex submanifolds in complex projective space", Trans. Amer. Math. Soc, 296(1), pp.137~149 (1986)
- J. D. P´erez, "Real hypersurfaces of quaternionic projective space satisfying rUiR = 0", Differential Geom. Appl, 7(3), pp.211~217 (1997)
- J. D. P´erez, "Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie »-parallel", Differential Geom. Appl., 22(2), pp.181~188 (2005)
- J. D. P´erez, "Real hypersurfaces in complex projective space whose structure Jacobi operator is D-parallel", Bull. Belg. Math. Soc. Simon Stevin, 13(3), pp.459~469 (2006)
관련 논문AI추천
Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator서영진, 양해영대한수학회 · 대한수학회보2008 · 제45권 제3호Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator서영진, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 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 제3호Hopf hypersurfaces in complex two-plane Grassmannians with Lie parallel normal Jacobi operator서영진, 이현진, 정임순대한수학회 · 대한수학회보2011 · 제48권 제2호REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE ξ-PARALLEL NORMAL JACOBI OPERATOR서영진, 정임순대한수학회 · 대한수학회지2008 · 제45권 제4호
이 간행물의 다른 논문 (17건)
Certain curvature conditions on an LP-Sasakian manifold with a coefficient αUday Chand De, Kadri Arslanpp. 401-408The generalized Riemann problem for first order quasilinear hyperbolic systems of conservation laws IDecheng Huang, Shouxin Chen, Xiaosen Hanpp. 409-434Jordan θ-derivations on Lie triple systemsAbbas Najatipp. 435-437Univalence properties for a general integral operatorDaniel Breazpp. 439-446Controllability for semilinear functional integrodifferential equations김한글, Jin-Mun Jeongpp. 463-475
