2 papers
math.DG2024
Star-shaped Curves under Gage's Area-preserving Flow and the CSF
Laiyuan Gao, Shicheng Zhang, Yuntao Zhang
Mayer asks a question what closed, embedded and nonconvex initial curves guarantee that Gage's area-preserving flow (GAPF) exists globally. A folklore conjecture since 2012 says th…
math.DG2014
Open manifolds with asymptotically nonnegative Ricci curvature and large volume growth
Yuntao Zhang
In this paper, we study the topology of complete noncompact Riemannian manifolds with asymptotically nonnegative Ricci curvature and large volume growth. We prove that they have fi…