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arXiv · 2310.03935

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Brian Grajales·Lino Grama
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Abstract

In this paper, we investigate equigeodesics on a compact homogeneous space $M=G/H.$ We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of $M$ and the Lie structure of the Lie algebra of $G$. Applications to $M$-spaces are also discussed.

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Brian Grajales, Lino Grama. 2023-10-05. Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands. https://arxiv.org/abs/2310.03935

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