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Real hypersurfaces in the complex quadric whose structure Jacobi operator is of Codazzi type
Author(s) -
Suh Young Jin
Publication year - 2019
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.201800184
Subject(s) - quadric , mathematics , type (biology) , operator (biology) , pure mathematics , jacobi operator , mathematical analysis , algebra over a field , jacobi polynomials , ecology , biochemistry , chemistry , repressor , gene , transcription factor , orthogonal polynomials , biology
First we introduce the notion of structure Jacobi operator of Codazzi type 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 inQ m = S O m + 2 / S O m S O 2with structure Jacobi operator of Codazzi type.
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