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Real hypersurfaces in the complex quadric with parallel normal Jacobi operator
Author(s) -
Suh Young Jin
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500428
Subject(s) - quadric , jacobi operator , mathematics , operator (biology) , pure mathematics , algebra over a field , jacobi polynomials , biochemistry , chemistry , repressor , transcription factor , orthogonal polynomials , gene
First we introduce the notion of parallel normal Jacobi operator for real hypersurfaces in the complex quadricQ m = S O m + 2 / S O m S O 2 . Next we give a complete classification of real hypersurfaces in the complex quadricQ m = S O m + 2 / S O m S O 2with parallel normal Jacobi operator.