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Two New Non-Naturally Reductive Einstein Metrics on Sp(n)

Year: 2025

Type: article

Abstract: In this article, we obtain that compact simple Lie groups $$Sp(n)(n=4k+3\ge 7)$$ admit at least two new non-naturally reductive Einstein metrics, which are $$Ad(Sp(k+1)\times Sp(k+1)\times Sp(k+1)\times Sp(k))$$ -invariant.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-025-00313-5

Authors: Xiaosheng Li, Ju Tan, Na Xu

Institutions: Xinyang Normal University, Anhui University of Technology

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funders: Nankai University, National Office for Philosophy and Social Sciences, Xinyang Normal University, Nanhu Scholars Program for Young Scholars of Xinyang Normal University, Division of Graduate Education, Division of Mathematical Sciences

OpenAlex ID: W4413382782

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Cites: 13

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Related to: 10