Cyclic Parallel Structure Jacobi Operator for Real Hypersurfaces in the Complex Quadric

  • Lee, Hyunjin; 
  • Suh, Young Jin
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SCOPUS

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초록

First we give a classification of Hopf real hypersurfaces with eta-parallel shape operator in the complex quadric Q(m), m >= 3. As an application of this result, we give another classification of cyclic parallel structure Jacobi operator on Hopf real hypersurfaces in Q(m).

키워드

complex quadric; Hopf real hypersurface; eta-parallel shape operator; Killing structure Jacobi operator; cyclic parallel structure Jacobi operator; A-isotropic vector field; A-principal vector field; singular vector field; EINSTEIN HYPERSURFACES
제목
Cyclic Parallel Structure Jacobi Operator for Real Hypersurfaces in the Complex Quadric
저자
Lee, Hyunjin; Suh, Young Jin
DOI
10.3836/tjm/1502179392
발행일
2023-12
유형
Article
저널명
Tokyo Journal of Mathematics
권
46
호
2
페이지
523 ~ 562