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Reeb parallel Ricci tensor for homogeneous real hypersurfaces in complex hyperbolic two‐plane Grassmannians
Author(s) -
Lee Hyunjin,
Suh Young Jin,
Woo Changhwa
Publication year - 2016
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.201400406
Subject(s) - mathematics , homogeneous , rank (graph theory) , pure mathematics , tensor (intrinsic definition) , mathematical analysis , hyperbolic geometry , hermitian matrix , plane (geometry) , ricci flow , ricci curvature , geometry , combinatorics , differential geometry , curvature
In this paper, we introduce the notion of Reeb parallel Ricci tensor for homogeneous real hypersurfaces in complex hyperbolic two‐plane Grassmannians which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. By using a new method of simultaneous diagonalizations, we give a complete classification for real hypersurfaces in complex hyperbolic two‐plane Grassmannians with the Reeb parallel Ricci tensor.