Some remarks on the geodesics and the boundary asymptotics of the Kobayashi--Fuks metric
Dr. Debaprasanna Kar, IISER Pune
Speaker |
Dr. Debaprasanna Kar, IISER Pune
|
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When |
Feb 13, 2023
from 02:00 PM to 03:00 PM |
Where | via zoom |
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Abstract: This talk will be divided into two parts. In the first part, we will derive a few results on the geodesics of the Kobayashi--Fuks metric on strongly pseudoconvex domains. In particular, we will show the existence of closed geodesics with prescribed homotopy class when the domain is non-simply connected and strongly pseudoconvex. We will also prove the existence of geodesic spirals for the Kobayashi--Fuks metric on smoothly bounded planar domains. The second part of the talk will be devoted to studying the boundary asymptotics of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary limits of the Kobayashi--Fuks metric and its Riemannian volume element by establishing some stability results on h-extendible model domains.
Join Zoom Meeting
https://zoom.us/j/91359191693?pwd=UldFWUNEV1QzcGZYa0VxbnVmZWpTQT09
Meeting ID: 913 5919 1693
Passcode: 887646
https://zoom.us/j/91359191693?pwd=UldFWUNEV1QzcGZYa0VxbnVmZWpTQT09
Meeting ID: 913 5919 1693
Passcode: 887646