Real Hypersurfaces with Reeb Invariant Structure Jacobi Operator in the Complex Quadric

  • Kim, Gyu Jong; 
  • Jeong, Imsoon; 
  • Lee, Hyunjin
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초록

We introduce a new notion of Reeb invariant structure Jacobi operator and two kinds of singular normal vector field N for a real hypersurface M in the complex quadric Q(m), m >= 3. If the unit normal N is 21-isotropic, we give a classification of Hopf real hypersurfaces with Reeb invariant structure Jacobi operator in the complex quadric Q(m), for m >= 3.

키워드

complex quadric; Hopf real hypersurface; structure Jacobi operator; u-isotropic; u-principal; Reeb invariance; PROJECTIVE-SPACE; 2-PLANE GRASSMANNIANS; FLOW
제목
Real Hypersurfaces with Reeb Invariant Structure Jacobi Operator in the Complex Quadric
저자
Kim, Gyu Jong; Jeong, Imsoon; Lee, Hyunjin
DOI
10.2298/FIL2112933K
발행일
2021
유형
Article
저널명
Filomat
권
35
호
12
페이지
3933 ~ 3944