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We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
In this talk, I will introduce our recent result on Heintze Karcher type inequalities for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. I will in...
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
We show that for arbitrary fixed conjugacy classes C1, . . . , Cl, l ≥ 3, of loxodromic isometries of the two-dimensional complex or quaternionic hyperbolic space there exist isometries g1, . . . , gl...
The superrigidity theorem of Margulis, see Zimmer [17], classifies finite dimen-sional representations of lattices in semi-simple Lie groups of real rank strictly larger than 1. It is a fundamental ...
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we char...
This work deals with function theory on quantum complex hyperbolic spaces. The prin-cipal notions are expounded. We obtain explicit formulas for invariant integrals on ‘finite’ functions on a quantum...

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