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On left-invariant Einstein metrics that are not geodesic orbit

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Abstract In this article, we prove that compact simple Lie groups SO ( n ) ( n > 12 ) admit at least two left-invariant Einstein metrics that are not… Click to show full abstract

Abstract In this article, we prove that compact simple Lie groups SO ( n ) ( n > 12 ) admit at least two left-invariant Einstein metrics that are not geodesic orbit, which gives a positive answer to a problem recently posed by Nikonorov.

Keywords: geodesic orbit; einstein metrics; invariant einstein; metrics geodesic; left invariant

Journal Title: Comptes Rendus Mathematique
Year Published: 2019

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