본문 바로가기
KERD
논문KCI 등재

Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator

양해영|서영진
대한수학회 (The Korean Mathematical Society)|2008.09|대한수학회보 (Bulletin of the KMS)|제45권 제3호|pp. 495-507

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

complex two-plane Grassmanniansreal hypersurfacescommuting structure Jacobi operatorReeb flow
주제분류수학

초록

In this paper we give a complete classification of real hypersurfaces in complex two-plane Grassmannians G₂(Cm+²) with commuting structure Jacobi operator Rξ and another geometric condition

Abstract

In this paper we give a complete classification of real hypersurfaces in complex two-plane Grassmannians G₂(Cm+²) with commuting structure Jacobi operator Rξ and another geometric condition

참고문헌 (15)

  1. D. V. Alekseevskii, "Compact quaternion spaces", Functional Analysis and its Applications, 2(2), pp.11~20 (1968)
  2. J. Berndt, "Real hypersurfaces in quaternionic space forms", Journal für die reine und angewandte Mathematik, 419, pp.9~26 (1991)
  3. J. Berndt, "Real hypersurfaces in complex two-plane Grassmannians", Monatshefte für Mathematik, 127(1), pp.1~14 (1999)
  4. J. Berndt, "Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians", Monatshefte für Mathematik, 137(2), pp.87~98 (2002)
  5. U-Hang Ki, "Real hypersurfaces in complex spaceforms with xi-parallel Ricci tensor and structure Jacobioperator", 대한수학회보, 44(2), pp.307~326 (2007), 대한수학회
  6. "Saitama Mathematical Journal", 1992, 33~34
  7. J. D. P"Lerez, "On certain real hypersurfaces of quaternionic projective space", ALGEBRAS GROUPS AND GEOMETRIES, 10(1), pp.13~24 (1993)
  8. J. D. P"Lerez, "Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie ξ-parallel", Differential Geometry and its Applications, 22(2), pp.181~188 (2005)
  9. J. D. P"Lerez, "Real hypersurfaces in complex projective space whose structure Jacobi operator is D-parallel", Bulletin of the Belgian Mathematical Society Simon Stevin, 13(3), pp.459~469 (2006)
  10. J. D. P"Lerez, "Real hypersurfaces of quaternionic projective space satisfying ∇UiR = 0", Differential Geometry and its Applications, 7(3), pp.211~217 (1997)
  11. Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator", Bulletin of the Australian Mathematical Society, 67(3), pp.493~502 (2003)
  12. Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator", Bulletin of the Australian Mathematical Society, 68(3), pp.379~393 (2003)
  13. Young Jin Suh, "Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator II", 대한수학회보, 41(3), pp.535~565 (2004), 대한수학회
  14. Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with vanishing Lie derivative", Canadian Mathematical Bulletin, 49(1), pp.134~143 (2006)
  15. Y. J. Suh, "Real hypersurfaces of type B in complex two-plane Grassmannians", Monatshefte für Mathematik, 147(4), pp.337~355 (2006)

관련 논문AI추천

Commuting structure Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians서영진, 양해영, 정임순대한수학회 · 대한수학회보2009 · 제46권 제3호REAL 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 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 제2호Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator서영진, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Hopf 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 (15건)

Hardy inequalities in half spaces of the Heisenberg groupJunqiang Han, Wenji Qin, Pengcheng Niupp. 405-417On the minimum length of some linear codes of dimension 6Takao Kato, Eun Ju Cheonpp. 419-425On the value distribution of differential polynomialsKit-Wing Yu, Subhas S. Bhoosnurmath, Milind Narayanrao Kulkarnipp. 427-435Weak forms of subtraction algebras김영희, 이경자, 전영배pp. 437-444On some properties of Malcev-Neumann modulesRenyu Zhao, Zhongkui Liupp. 445-456
원문 보기