Transverse Ricci solitons on a compact foliated manifold

Transverse Ricci solitons on a compact foliated manifold

We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a taut Riemannian foliation and a transverse Ricci soliton. Moreover, we find some examples of transverse Ricci solitons.

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Hauptverfasser: Hwang, Seungsu, Jung, Seoung Dal, Moon, Jungwoo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung:We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a taut Riemannian foliation and a transverse Ricci soliton. Moreover, we find some examples of transverse Ricci solitons.
DOI:10.48550/arxiv.2403.14099