arXiv Open Access 2021

On the noncollapsedness of positively curved Type I ancient Ricci flows

Liang Cheng Yongjia Zhang
Lihat Sumber

Abstrak

In this article, we study complete Type I ancient Ricci flows with positive sectional curvature. Our main results are as follows: in the complete and noncompact case, all such ancient solutions must be noncollapsed on all scales; in the closed case, if the dimension is even, then all such ancient solutions must be noncollapsed on all scales. This furthermore gives a complete classification for three-dimensional noncompact Type I ancient solutions without assuming the noncollapsing condition.

Topik & Kata Kunci

Penulis (2)

L

Liang Cheng

Y

Yongjia Zhang

Format Sitasi

Cheng, L., Zhang, Y. (2021). On the noncollapsedness of positively curved Type I ancient Ricci flows. https://arxiv.org/abs/2102.03508

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓