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september 2018 Real hypersurfaces with Killing type structure Jacobi operators in $\mathbb{C}P^2$ and $\mathbb{C}H^2$
Yaning Wang, Wenjie Wang
Bull. Belg. Math. Soc. Simon Stevin 25(3): 403-414 (september 2018). DOI: 10.36045/bbms/1536631235

Abstract

In this paper, we prove that if the structure Jacobi operator of a $3$-dimen\-sional real hypersurface in a nonflat complex plane is of Killing type, then the hypersurface is either a tube of radius $\frac{\pi}{4}$ over a holomorphic curve in $\mathbb{C}P^2$ or a Hopf hypersurface with vanishing Hopf principal curvature in $\mathbb{C}H^2$. This extends the corresponding results in [6].

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Yaning Wang. Wenjie Wang. "Real hypersurfaces with Killing type structure Jacobi operators in $\mathbb{C}P^2$ and $\mathbb{C}H^2$." Bull. Belg. Math. Soc. Simon Stevin 25 (3) 403 - 414, september 2018. https://doi.org/10.36045/bbms/1536631235

Information

Published: september 2018
First available in Project Euclid: 11 September 2018

zbMATH: 06970022
MathSciNet: MR3852676
Digital Object Identifier: 10.36045/bbms/1536631235

Subjects:
Primary: 53B25
Secondary: 53C15, 53D15

Rights: Copyright © 2018 The Belgian Mathematical Society

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Vol.25 • No. 3 • september 2018
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