2 papers
math.DG2024
Rigidity of eigenvalues of shrinking Ricci solitons
Chang Li, Huaiyu Zhang, Xi Zhang
In this paper, we study the rigidity of eigenvalues of shring Ricci solitons. It is known that the drifted Laplacian on shrinking Ricci solitons has discrete spectrum, its eigenval…
math.DG2024
The Penrose Inequality for Metrics with Singular Sets
Huaiyu Zhang
We study the Penrose inequality and its rigidity for metrics with singular sets. Our result could be viewed as a complement of Theorem 1.1 of Lu and Miao (J. Funct. Anal. 281, 2021…