论文信息 - Real hypersurfaces in the complex quadric with Lie invariant normal Jacobi operator

Real hypersurfaces in the complex quadric with Lie invariant normal Jacobi operator

Abstract We introduce the notion of Lie invariant normal Jacobi operator for real hypersurfaces in the complex quadric Q m = S O m + 2 / S O m S O 2 . The existence of an invariant normal Jacobi operator implies that the unit normal vector field N becomes A -principal or A -isotropic. Using an analysis of cases, we give a complete classification of real hypersurfaces in Q m = S O m + 2 / S O m S O 2 with Lie invariant normal Jacobi operator.

Young Jin Suh | Gyu Jong Kim

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