3 papers
math.DG2025
Infinitesimal Conformal Rigidity on Damek-Ricci Spaces
Hiroyasu Satoh, Hemangi Madhusudan Shah
We show that every conformal vector field on a Damek-Ricci space is necessarily Killing, establishing a strong form of infinitesimal conformal rigidity. Although this rigidity phen…
math.DG2025
A Constructive Approach to Infinitesimal Conformal Rigidity on Complex Hyperbolic Space
Hiroyasu Satoh, Hemangi Madhusudan Shah
We prove that every conformal vector field on the complex hyperbolic space is Killing for all . Although this rigidity is classically known, our proof is en…
math.DG2024
A note on the volume entropy of harmonic manifolds of hypergeometric type
Hiroyasu Satoh
Harmonic manifolds of hypergeometric type form a class of non-compact harmonic manifolds that includes rank one symmetric spaces of non-compact type and Damek-Ricci spaces. When no…