Add to ORKGGiven a compact K\"ahler manifold, we prove that all global isometries of the space of K\"ahler metrics are induced by biholomorphisms and anti-biholomorphisms of the manifold. In particular, there exist no global symmetries for Mabuchi's metric. Moreover, we show that the Mabuchi completion does not even admit local symmetries. Closely related to these findings, we provide a large class of metric geodesic segments that can not be extended at one end, pointing out the first such examples in the literature
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-mani...
Abstract. We prove that if (Mn, g), n ≥ 4, is a compact, orientable, locally irreducible Riemannian ...
In this talk we describe Kato manifolds, also known as manifolds with global spherical shell. W...
We prove that under certain assumptions holomorphic functions which are Azukawa isometries at one po...
Let $Y$ be a compact K\"ahler normal space and $\alpha \in H^{1,1}(Y,\mathbb{R})$ a K\"ahler class. ...
We establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Slodkowski theorems, and...
We investigate the isometry groups of Banach algebras from the point of view of how they are determi...
We show that if Yj⊂Cnj is a bounded strongly convex domain with C3-boundary for j=1,…,q, and Xj⊂Cmj ...
AbstractWe prove the equivalence of the two important facts about finite metric spaces and universal...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
AbstractIn this paper, we prove two theorems on the local stability of isometries in connection with...
Let Tί and T2 be two flat tori (i.e., provided with a com-plete Riemannian metric of vanishing curva...
AbstractFor each infinite cardinal t property of being the union of countably many sets each locally...
We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm...
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-mani...
Abstract. We prove that if (Mn, g), n ≥ 4, is a compact, orientable, locally irreducible Riemannian ...
In this talk we describe Kato manifolds, also known as manifolds with global spherical shell. W...
We prove that under certain assumptions holomorphic functions which are Azukawa isometries at one po...
Let $Y$ be a compact K\"ahler normal space and $\alpha \in H^{1,1}(Y,\mathbb{R})$ a K\"ahler class. ...
We establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Slodkowski theorems, and...
We investigate the isometry groups of Banach algebras from the point of view of how they are determi...
We show that if Yj⊂Cnj is a bounded strongly convex domain with C3-boundary for j=1,…,q, and Xj⊂Cmj ...
AbstractWe prove the equivalence of the two important facts about finite metric spaces and universal...
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
AbstractIn this paper, we prove two theorems on the local stability of isometries in connection with...
Let Tί and T2 be two flat tori (i.e., provided with a com-plete Riemannian metric of vanishing curva...
AbstractFor each infinite cardinal t property of being the union of countably many sets each locally...
We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm...
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-mani...
Abstract. We prove that if (Mn, g), n ≥ 4, is a compact, orientable, locally irreducible Riemannian ...
In this talk we describe Kato manifolds, also known as manifolds with global spherical shell. W...