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A natural family of affine cubic surfaces arises from SL(2)-characters of the 4-holed sphere and the 1-holed torus. The ideal locus is a tritangent plane which is generic in the sense that the...
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2 be the real projective plane and PGL(3, R) the group of projective transformations RP2 —...
A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
We develop methods for studying transition operators on metric spaces that are invariant under a co-compact group which acts properly. A basic requirement is a decomposition of such operators with ...
This is a survey on analysis on non-compact co-compact Riemannian covers and how it relates to random walks on finitely generated groups. The focus is on the long time behavior of the heat kernel an...
The study of Gaussian convolution semigroups is a subject at the cross- road between abstract and concrete problems in harmonic analysis. This article suggests selected open problems that are in lar...
In this note I will present a proof that, assuming PFA, if R is a measure algebra then after forcing with R every uncountable locally compact locally countable cometrizable space contains an uncountab...
In 1948, Katetov proved the following metrization theorem. Theorem 1.1. [3] If X is a compact space1 and every subspace of X3 is normal, then X is metrizable.
We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a qu...
In this paper, we first derive several identities on a compact shrinking Ricci soliton. We then show that a compact gradient shrinking soliton must be Einstein, if it admits a Riemannian metri...
Let G be a compact separable topological group. When does there exist a probability P such that P P = U ,where U is Haarmeasure and P + U? We show that such square roots exist if and only if G is ...
Closed characteristics on compact convex hypersurfaces in R8.
Disk galaxies in compact galaxy groups exhibit a remarkable shortfall of neutral hydrogen compared to both isolated spirals and spirals in more loose groups, but the origin of this HI deficiency remai...
Galaxies in compact groups tend to be deficient in neutral hydrogen compared to isolated galaxies of similar optical properties. In order to investigate the role played by a hot intragroup medium (IGM...
Aims. Within the framework of the HERM33ES key program, using the high resolution and sensitivity of the Herschel photometric data, we study the compact emission in the Local Group spiral galaxy MR...

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