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

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.

Authors

Institutions

Publication Details

Journal
Journal of Nonlinear Mathematical Physics
Published
2025-08-14
DOI
https://doi.org/10.1007/s44198-025-00313-5
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Xiaosheng Li, Ju Tan, Na Xu
Journal of Nonlinear Mathematical Physics
Geometric Analysis and Curvature Flows
article

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

Xiaosheng Li, Ju Tan, Na Xu
article en

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.

Journal of Nonlinear Mathematical PhysicsVol. 32(1)
Xinyang Normal University (CN), Anhui University of Technology (CN)
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 Percentile: Top 68%
Geometric Analysis and Curvature Flows
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.