ar X iv : 1 71 2 . 05 94 9 v 1 [ m at h . M G ] 1 6 D ec 2 01 7 ESTIMATES FOR MOMENTS OF GENERAL MEASURES ON CONVEX BODIES

ar X iv : 1 71 2 . 06 96 9 v 1 [ m at h . N T ] 1 9 D ec 2 01 7 THETA OPERATORS ON UNITARY SHIMURA VARIETIES

We define a theta operator on p-adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which p is inert. We study its effect on Fourier-Jacobi expansions and prove that it extends holomorphically beyond the μ-ordinary locus, when applied to scalar-valued forms.

ar X iv : g r - qc / 9 70 90 31 v 2 1 4 D ec 1 99 7 MULTIPOLE MOMENTS IN

This paper contains discussion of the problem of motion of extended i.e. non point test bodies in multidimensional space. Extended bodies are described in terms of so called multipole moments. Using approximated form of equations of motion for extended bodies deviation from geodesic motion is derived. Results are applied to special form of space-time. PACS number(s): 04.25.-g, 04.50.+h, 11.25.Mj

ar X iv : m at h / 99 07 08 5 v 2 [ m at h . G R ] 1 7 D ec 1 99 9 LOOPS AND SEMIDIRECT PRODUCTS

ar X iv : 1 60 9 . 02 10 5 v 1 [ m at h . D G ] 7 S ep 2 01 6 ROTATIONAL SYMMETRY OF ASYMPTOTICALLY CONICAL MEAN CURVATURE FLOW SELF - EXPANDERS

In this article, we examine complete, mean-convex self-expanders for the mean curvature flow whose ends have decaying principal curvatures. We prove a Liouville-type theorem associated to this class of self-expanders. As an application, we show that mean-convex self-expanders which are asymptotic to O(n)-invariant cones are rotationally symmetric.

ar X iv : m at h / 05 12 38 7 v 1 [ m at h . FA ] 1 6 D ec 2 00 5 TIME - DEPENDENT SYSTEMS OF GENERALIZED YOUNG MEASURES

In this paper some new tools for the study of evolution problems in the framework of Young measures are introduced. A suitable notion of time-dependent system of generalized Young measures is defined, which allows to extend the classical notions of total variation and absolute continuity with respect to time, as well as the notion of time derivative. The main results are a Helly type theorem fo...