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Characterizations for Real Hypersurfaces in Complex and Quaternionic Space Forms Related to the Normal Jacobi Operator

김규종|김경남|정임순
경북대학교 자연과학대학 수학과|2016.09|Kyungpook Mathematical Journal|제56권 제3호|pp. 993-1002

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키워드

complex space formsReal hypersurfacesparallel normal Jacobi operatorreal space formsquaternionic space forms.
주제분류수학

초록

In this paper we give some non-existence theorems for parallel normal Jacobi operator of real hypersurfaces in real, complex and quaternionic space forms, respectively.

Abstract

In this paper we give some non-existence theorems for parallel normal Jacobi operator of real hypersurfaces in real, complex and quaternionic space forms, respectively.

참고문헌 (13)

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관련 논문AI추천

REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE ξ-PARALLEL NORMAL JACOBI OPERATOR서영진, 정임순대한수학회 · 대한수학회지2008 · 제45권 제4호Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator서영진, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space FormHiroyuki Kurihara, Tae Yong Hwang, U-Hang Ki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호On characterizations of real hypersurfaces with $\eta$-parallel Ricci operators in a complex space form김인배, 박혜정, 손운하대한수학회 · 대한수학회보2006 · 제43권 제2호Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Non at Complex Space FormHiroyuki Kurihara, Soo Jin Kim, U-Hang Ki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Real hypersurfaces in a non-flat complex space form with Lie recurrent structure Jacobi operatorGeorge Kaimakamis, Konstantina Panagiotidou대한수학회 · 대한수학회보2013 · 제50권 제6호

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