The property of real hypersurfaces in 2-dimensional complex space form with Ricci operator
Author(s) -
Dong Ho Lim,
Woon Ha Sohn,
Seong Soo Ahn
Publication year - 2014
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1310-19
Subject(s) - mathematics , property (philosophy) , pure mathematics , space (punctuation) , operator (biology) , ricci flow , mathematical analysis , algebra over a field , ricci curvature , geometry , computer science , philosophy , biochemistry , chemistry , epistemology , repressor , transcription factor , gene , operating system , curvature
Let M be a real hypersurface in a complex space form M2(c), c \neq 0. In this paper, we prove that S f=f S on M if and only if M is pseudo-Einstein.
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