Anna Kiesenhofer | EPFL Graph Search

b-Structures on Lie groups and Poisson reduction

Motivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a b-Lie group as a pair (G, H) where G is a Lie group and H is a codimension-one Lie subgroup. Such a notion all ...

ELSEVIER2022

A b-symplectic slice theorem

Anna Kiesenhofer

In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b-symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864-896, we prove a slice theorem for Lie group a ...

WILEY2022

Small data global regularity for half-wave maps in n=4 dimensions

Joachim Krieger, Anna Kiesenhofer

We prove that the half-wave maps problem on

\mathbb{R}^{4+1}

with target

S^2

is globally well-posed for smooth initial data which are small in the critical

l^1

based Besov space. This is a formal analogue of the result [17]. ...

2021