Add to ORKGAbstract. In this paper we derive the Birkhoff formula for conformal compressions on symmetric cones. Let V be a Euclidean Jordan algebra and let Ω be the associated symmetric cone. Then Ω admits a natural Finsler metric contracted by any conformal compressions of Ω. We show that the Lipschitz constant of a conformal compression of Ω is equal to the hyperbolic tangent of one fourth of the diameter of the image. This is the same relation which was obtained by Birkhoff on positive reals and by Liverani and Wojtkowski on the space of positive definite real matrices
In the present paper, we consider the conformal theory of Finsler manifolds. We find, under a certai...
We develop a new approach to the conformal geometry of embedded hypersurfaces by treating t...
In this paper we consider symmetric cones as symmetric spaces equipped with invariant Finsler distan...
In this paper we show that the symplectic Hamiltonian operators on a Hilbert space give rise to line...
AbstractHilbert’s projective metric on a Lorentz cone (forward light cone) is explicitly described i...
Abstract. The theory of domains of positivity or symmetric cones is closely tied to that of Euclidea...
This thesis is a study of three topics, each of which describes an aspect of the geometry of conform...
. We determine the causal transformations of a class of causal symmetric spaces (Th. 2.4.1). As a ba...
M. S. Knebelman [4] first defined the conformal theory of Finsler metrics, such that two metric func...
For a cone C equipped with the Thompson metric and A ∈ C, we show that the translation map x {mappin...
AbstractLet V be a Euclidean Jordan algebra with symmetric cone K. We show that if a linear transfor...
Suppose that B is an infinite right cylinder over a horizontal base ft, which is a Jordan domain bou...
Our first objective in this paper is to give a natural formulation of the Christof-fel problem for h...
We are interested in the Caffarelli-Kohn-Nirenberg inequality (CKN in short), introduced by these au...
In this paper we introduce a general notion of a symmetric cone, valid for the finite and infinite d...
In the present paper, we consider the conformal theory of Finsler manifolds. We find, under a certai...
We develop a new approach to the conformal geometry of embedded hypersurfaces by treating t...
In this paper we consider symmetric cones as symmetric spaces equipped with invariant Finsler distan...
In this paper we show that the symplectic Hamiltonian operators on a Hilbert space give rise to line...
AbstractHilbert’s projective metric on a Lorentz cone (forward light cone) is explicitly described i...
Abstract. The theory of domains of positivity or symmetric cones is closely tied to that of Euclidea...
This thesis is a study of three topics, each of which describes an aspect of the geometry of conform...
. We determine the causal transformations of a class of causal symmetric spaces (Th. 2.4.1). As a ba...
M. S. Knebelman [4] first defined the conformal theory of Finsler metrics, such that two metric func...
For a cone C equipped with the Thompson metric and A ∈ C, we show that the translation map x {mappin...
AbstractLet V be a Euclidean Jordan algebra with symmetric cone K. We show that if a linear transfor...
Suppose that B is an infinite right cylinder over a horizontal base ft, which is a Jordan domain bou...
Our first objective in this paper is to give a natural formulation of the Christof-fel problem for h...
We are interested in the Caffarelli-Kohn-Nirenberg inequality (CKN in short), introduced by these au...
In this paper we introduce a general notion of a symmetric cone, valid for the finite and infinite d...
In the present paper, we consider the conformal theory of Finsler manifolds. We find, under a certai...
We develop a new approach to the conformal geometry of embedded hypersurfaces by treating t...
In this paper we consider symmetric cones as symmetric spaces equipped with invariant Finsler distan...