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Real hypersurfaces with Killing type structure Jacobi operators in CP2 and CH2.

Authors :
Yaning Wang
Wenjie Wang
Source :
Bulletin of the Belgian Mathematical Society - Simon Stevin. Sep2018, Vol. 25 Issue 3, p403-414. 12p.
Publication Year :
2018

Abstract

In this paper, we prove that if the structure Jacobi operator of a 3-dimensional real hypersurface in a nonflat complex plane is of Killing type, then the hypersurface is either a tube of radius π/4 over a holomorphic curve in CP2 or a Hopf hypersurface with vanishing Hopf principal curvature in CH2. This extends the corresponding results in [6]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13701444
Volume :
25
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Belgian Mathematical Society - Simon Stevin
Publication Type :
Academic Journal
Accession number :
131760076
Full Text :
https://doi.org/10.36045/bbms/1536631235