On submanifolds in locally symmetric spaces of noncompact type
نویسندگان
چکیده
منابع مشابه
On submanifolds in locally symmetric spaces of noncompact type
Given a connected, compact, totally geodesic submanifold Ym of noncompact type inside a compact locally symmetric space of noncompact type Xn , we provide a sufficient condition that ensures that [Ym] 6= 0 ∈ Hm(X; R); in low dimensions, our condition is also necessary. We provide conditions under which there exist a tangential map of pairs from a finite cover (X̄, Ȳ) to the nonnegatively curved ...
متن کاملObservability on Noncompact Symmetric Spaces
The \classical case" is the case in which X is a compact riemannian manifold and D is the (positive de nite) Laplacian. Then (1.1) is the heat equation on X . In this paper we'll look at the special case where X is a riemannian symmetric space of noncompact type. Thus X is a noncompact riemannian manifold with a very large symmetry group G, harmonic analysis on X is understood in terms of the s...
متن کاملOn the Isoperimetric Constant of Symmetric Spaces of Noncompact Type
From this result one can easily deduce I (H) = n 1. For a detailed discussion of Cheegers constant and related results, one can consult [Cha, Chapter 6]. In general, it is very di¢ cult to know if the isoperimetric constant is positive or not and it is almost impossible to compute it explicitly if it is known to be positive. In this short note, we prove that the isoperimetric constant is posit...
متن کاملHyperpolar Homogeneous Foliations on Symmetric Spaces of Noncompact Type
Abstract. A foliation F on a Riemannian manifold M is hyperpolar if it admits a flat section, that is, a connected closed flat submanifold of M that intersects each leaf of F orthogonally. In this article we classify the hyperpolar homogeneous foliations on every Riemannian symmetric space M of noncompact type. These foliations are constructed as follows. Let Φ be an orthogonal subset of a set ...
متن کاملWeak Type Estimates for Spherical Multipliers on Noncompact Symmetric Spaces
In this paper we prove sharp weak type 1 estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker and A.D. Ionescu.
متن کاملذخیره 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: Algebraic & Geometric Topology
سال: 2006
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2006.6.2455