From reverse Riesz to isoperimetry on manifolds with quadratically decaying curvature

The PDE & Analysis seminar covers topics in PDE and analysis.

schedule Date & time
Date/time
5 Mar 2025 10:00am - 5 Mar 2025 11:00am
person Speaker

Speakers

Dangyang He (Macquarie University)
next_week Event series
contact_support Contact
Qiuye Jia (ANU)

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Description

Abstract:  

We consider reverse Riesz and isoperimetric problems on manifolds with quadratically decaying Ricci curvature. We study the connection among reverse Riesz, Hardy-type, and Sobolev-type inequalities within the framework of manifolds with quadratically decaying curvature. After that, we also discuss the existence of isoperimetric inequalities on such manifolds.

Location

Seminar room 1.33

Mathematical Sciences Institute

ANU College of Systems and Society

Hanna Neumann Building #145, Science Road

The Australian National University

Canberra ACT 2600

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