Real hypersurfaces in the complex quadric with parallel normal Jacobi operator

2016 ◽  
Vol 290 (2-3) ◽  
pp. 442-451 ◽  
Author(s):  
Young Jin Suh
Keyword(s):  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Complex Quadric ◽  
Normal Jacobi Operator

Real hypersurfaces in the complex quadric with Killing normal Jacobi operator

2018 ◽  
Vol 149 (2) ◽  
pp. 279-296 ◽  
Author(s):  
Young Jin Suh
Keyword(s):  
Jacobi Operator ◽  
Complete Classification ◽  
Real Hypersurfaces ◽  
Normal Vector ◽  
Unit Normal Vector ◽  
Normal Vector Field ◽  
Complex Quadric ◽  
Unit Normal Vector Field ◽  
Normal Jacobi Operator

AbstractWe introduce the notion of Killing normal Jacobi operator for real hypersurfaces in the complex quadricQm=SOm+2/SOmSO2. The Killing normal Jacobi operator implies that the unit normal vector fieldNbecomes 𝔄-principal or 𝔄-isotropic. Then according to each case, we give a complete classification of real hypersurfaces inQm=SOm+2/SOmSO2with Killing normal Jacobi operator.

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