arXiv Open Access 2026

On the long time behavior of ancient homogeneous Ricci flows

Anusha M. Krishnan Francesco Pediconi

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Abstrak

We prove a precompactness theorem for invariant metrics on compact homogeneous spaces without injectivity radius bounds, assuming uniform bounds on the diameter and on all derivatives of the curvature tensor. As a consequence, we prove that every ancient homogeneous Ricci flow on a compact manifold admits a blow-down sequence that converges to a gradient shrinking Ricci soliton.

Topik & Kata Kunci

math.DG

Penulis (2)

Anusha M. Krishnan

Francesco Pediconi

Format Sitasi

APA MLA BibTeX

Krishnan, A.M., Pediconi, F. (2026). On the long time behavior of ancient homogeneous Ricci flows. https://arxiv.org/abs/2602.15661

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓