Search
Search Results
-
The Cohomology of Locally Symmetric Spaces
We discuss how automorphic representation theory controls the cohomology of arithmetic locally symmetric spaces.
-
-
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces
Let X be an irreducible Hermitian symmetric space of compact type (IHSS for short). In this paper, we give the irreducible decomposition of Sym r T X ....
-
Locally Mixed Symmetric Spaces
This chapter introduces the notion which is the main interest in this book and is responsible for the title. Locally mixed symmetric spaces are a...
-
Symmetric spaces as adjoint orbits and their geometries
We realize specific classical symmetric spaces, like the semi-Kähler symmetric spaces discovered by Berger, as cotangent bundles of symmetric flag...
-
Locally Mixed Symmetric Spaces
What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are...
-
Homogeneous Hypersurfaces in Symmetric Spaces
A hypersurface of a Riemannian manifold is called homogeneous if it is an orbit of an isometric action on the ambient manifold. Homogeneous...
-
Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main...
-
Locally Symmetric Spaces
In this chapter a specific kind of locally symmetric space arising from arithmetic groups will be investigated.
-
Partially defined operators on locally Hilbert spaces
We investigate partially defined operators on inductive limits of Hilbert spaces, in order to introduce an operator theory for a class of linear...
-
Analysis on Compact Symmetric Spaces: Eigenfunctions and Nonlinear Schrödinger Equations
We discuss several open problems on harmonic analysis on compact globally symmetric spaces, and their applications towards nonlinear Schrödinger...
-
Einstein hypersurfaces in irreducible symmetric spaces
We give a full classification of Einstein hypersurfaces in irreducible Riemannian symmetric spaces of rank greater than 1 (the classification in the...
-
Strongly Symmetric Spaces of \(\tau \) -Measurable Operators
This chapter exhibits the theory of strongly symmetric spaces of $$\tau...
-
Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type
We study unique continuation inequalities for the free Schrödinger equation in the context of Riemannian symmetric spaces of noncompact type. The...
-
Symmetric Spaces of Measurable Functions: Some New and Old Advances
The article is an extensive review in the theory of symmetric spaces of measurable functions.
It contains a number of new (recent) and old (known)...
-
Pseudo-symmetric almost Kenmotsu 3-manifolds
We study the semi-symmetry and pseudo-symmetry of almost Kenmotsu 3-manifolds. We prove that non-locally symmetric pseudo-symmetric H -almost Kenmotsu...
-
Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures
Let (Ω, μ ) be a measurable space with a σ -finite continuous measure, μ (Ω) = ∞. A linear operator T : L 1 (Ω) + L ∞ (Ω) → L 1 (Ω) + L ∞ (Ω) is called a Dunford–...
-
Space-Time Mixed Norm Estimates in Riemannian Symmetric Spaces of Non-Compact Type
We present a summary of recent advances in the Strichartz inequality and the smoothing property on non-compact type and general rank Riemannian...