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Kähler submanifolds and the Umehara algebra

Department of Mathematics, Jilin Normal University, Siping 136000, P.R. China

E-mail Address: chengxiaoliang92@163.com

Dipartimento di Scienze Matematiche ‘G.L. Lagrange’, Politecnico di Torino, Corso Duca Degli Abruzzi 24, 10129, Torino, Italy

E-mail Address: antonio.discala@polito.it

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, and

Yuan Yuan

Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA

E-mail Address: yyuan05@syr.edu

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https://doi.org/10.1142/S0129167X17500276Cited by:11 (Source: Crossref)

Abstract

We show that the indefinite complex space form $ℂ^{r, s}$ is not a relative to the indefinite complex space form $ℂ ℙ_{l}^{N} (b)$ or $ℂ ℍ_{m}^{N} (b)$ . We further study whether two Fubini–Study spaces are relatives or not.

Keywords:

AMSC: 32H02, 32Q40, 53B35

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