Facebook Instagram Twitter RSS Feed PodBean Back to top on side

$\mathbb{D}$-recurrent $*$-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms

In: Mathematica Slovaca, vol. 70, no. 4
Yaning Wang

Details:

Year, pages: 2020, 903 - 908
About article:
Kaimakamis and Panagiotidou in [Taiwanese J. Math. \textbf{18}(6) (2014), 1991–1998] proposed an open question: are there real hypersurfaces in nonflat complex space forms whose $*$-Ricci tensor satisfies the condition of $\mathbb{D}$-parallelism? In this short note, we present an affirmative answer and prove that a three-dimensional real hypersurface in a nonflat complex space form has $\mathbb{D}$-parallel $*$-Ricci tensor if and only if it is locally congruent to either a geodesic hypersphere of radius $r$ in $\mathbb{C}H2(c)$ with $\tanh(\frac{\sqrt{|c|}}{2}r)=((1) / (2))$ or a ruled real hypersurface.
How to cite:
ISO 690:
Wang, Y. 2020. $\mathbb{D}$-recurrent $*$-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms. In Mathematica Slovaca, vol. 70, no.4, pp. 903-908. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0402

APA:
Wang, Y. (2020). $\mathbb{D}$-recurrent $*$-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms. Mathematica Slovaca, 70(4), 903-908. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0402
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 24. 7. 2020