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Hopf Hypersurfaces in Complex Two-plane Grassmannians with Generalized Tanaka-Webster Reeb-parallel Structure Jacobi Operator

이현진|박은미|김병학
경북대학교 자연과학대학 수학과|2019.09|Kyungpook Mathematical Journal|제59권 제3호|pp. 525-535|DOI 10.5666/KMJ.2019.59.3.525

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참고문헌

키워드

structure Jacobi operatorreal hypersurfacegeneralized Tanaka-Webster connectioncomplex two-plane GrassmannianHopf hyper- surface
주제분류수학

초록

In relation to the generalized Tanaka-Webster connection, we consider a new notion of parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians and prove the non-existence of real hypersurfaces in G2(Cm+2) with generalized Tanaka-Webster parallel structure Jacobi operator.

Abstract

In relation to the generalized Tanaka-Webster connection, we consider a new notion of parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians and prove the non-existence of real hypersurfaces in G2(Cm+2) with generalized Tanaka-Webster parallel structure Jacobi operator.

참고문헌 (19)

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관련 논문AI추천

Real hypersurfaces in complex two-plane Grassmannians whose shape operator is of Codazzi type in generalized Tanaka-Webster connection이현진, Eunmi Pak, Kyusuk Cho대한수학회 · 대한수학회보2015 · 제52권 제1호Commuting structure Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians서영진, 양해영, 정임순대한수학회 · 대한수학회보2009 · 제46권 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 Lie parallel normal Jacobi operator서영진, 이현진, 정임순대한수학회 · 대한수학회보2011 · 제48권 제2호Killing structure Jacobi operator of a real hypersurface in a complex projective spaceJuan de Dios Perez대한수학회 · 대한수학회지2021 · 제58권 제2호

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