Now showing items 1-3 of 3

• #### The Fourier Transform on Harmonic Manifolds of Purely Exponential Volume Growth ﻿

[OWP-2019-12] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-08)
Let $X$ be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in particular all known examples of harmonic ...
• #### Minimal Codimension One Foliation of a Symmetric Space by Damek-Ricci Spaces ﻿

[OWP-2019-11] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-07)
In this article we consider solvable hypersurfaces of the form $N \exp(\mathbb{R} H)$ with induced metrics in the symmetric space $M = SL(3,\mathbb{C})/SU(3)$, where $H$ a suitable unit length vector in the subgroup $A$ ...
• #### Noncompact harmonic manifolds ﻿

[OWP-2013-08] (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)
The Lichnerowicz conjecture asserts that all harmonic manifolds are either flat or locally symmetric spaces of rank 1. This conjecture has been proved by Z.I. Szab ́o [Sz] for harmonic manifolds with compact universal ...