Minimal anisotropic groups of higher real rank

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Almost-minimal Nonuniform Lattices of Higher Rank

(2) the product H × H of 2 hyperbolic planes. In short, among all the symmetric spaces of noncompact type with rank ≥ 2, there are only two manifolds that are minimal with respect to the partial order defined by totally geodesic embeddings. Our main theorem provides an analogue of this result for noncompact finitevolume spaces that are locally symmetric, rather than globally symmetric, but, in ...

متن کامل

Almost-minimal Nonuniform Lattices of Higher Rank

Need to do:. • Rewrite the section on triality groups. • Verify that Z ⊂ M q in proof of 6.5. ([PR] says it's true on p. 385.)

متن کامل

Higher rank Einstein solvmanifolds

In this paper we study the structure of standard Einstein solvmanifolds of arbitrary rank. Also the validity of a variational method for finding standard Einstein solvmanifolds is proved.

متن کامل

Real Rank and Topological Dimension of Higher Rank Graph Algebras

We study dimension theory for the C∗-algebras of row-finite k-graphs with no sources. We establish that strong aperiodicity—the higher-rank analogue of condition (K)—for a k-graph is necessary and sufficient for the associated C∗-algebra to have topological dimension zero. We prove that a purely infinite 2-graph algebra has real-rank zero if and only if it has topological dimension zero and sat...

متن کامل

Vanishing of First Cohomology for Arithmetic Groups of Higher Real Rank

Let Γ be an arithmetic subgroup of G = SL(n,R), with n > 2. (More generally, Γ could be any irreducible arithmetic subgroup of any semisimple Lie group of higher real rank.) We will describe a proof (due to Margulis) that the first cohomology of Γ vanishes (with coefficients in any finite-dimensional real representation). The result is a consequence of the much stronger statement, known as the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Michigan Mathematical Journal

سال: 2011

ISSN: 0026-2285

DOI: 10.1307/mmj/1310667981