arXiv
Open Access
2020
Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions
Simon Brendle
Keaton Naff
Abstrak
We extend the second part of \cite{Bre20} on the uniqueness of ancient $κ$-solutions to higher dimensions. In dimensions $n \geq 4$, an ancient $κ$-solution is a nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and weakly PIC2; has bounded curvature; and is $κ$-noncollapsed. We show that the only noncompact ancient $κ$-solutions up to isometry are a family of shrinking cylinders, a quotient thereof, or the Bryant soliton.
Topik & Kata Kunci
Penulis (2)
S
Simon Brendle
K
Keaton Naff
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2020
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓