Cohomogeneity one actions on symmetric spaces of noncompact type
نویسندگان
چکیده
منابع مشابه
Cohomogeneity One Actions on Noncompact Symmetric Spaces of Rank One
We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces CHn, n ≥ 3. For the quaternionic hyperbolic spaces HHn, n ≥ 3, we reduce the classification problem to a problem in quaternionic linear algebra and obtain partial results. For real hyperbolic spaces, this classificat...
متن کاملCohomogeneity One Actions on Some Noncompact Symmetric Spaces of Rank Two
We classify, up to orbit equivalence, the cohomogeneity one actions on the noncompact Riemannian symmetric spaces G2 /G2, SL3(C)/SU3 and SO 2,n+2/SO2SOn+2, n ≥ 1.
متن کامل2 4 M ay 2 00 5 Cohomogeneity one actions on noncompact symmetric spaces of rank one
We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces CH, n ≥ 3. For the quaternionic hyperbolic spaces HH, n ≥ 3, we reduce the classification problem to a problem in quaternionic linear algebra and obtain partial results. For real hyperbolic spaces, this classificatio...
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 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: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2013
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2012-0002