A metric invariant ak is defined, and we have that ak(X)≤ak(Sn) holds in an Alexandrov space X with curvature ≥ 1. And the borderline case when a3(X) = a3(Sn) and ak(S1) are studied.</p
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the ave...
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms rep...
A metric invariant ak is defined, and we have that ak(X)≤ak(Sn) holds in an Alexandrov space X...
A metric invariant ak is defined, and we have that ak(X) ≤ ak(Sn) holds in an Alexandrov space...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
In this thesis we recall the basic definitions and properties for Alexandrov space and describe two ...
1. Introduction. An Alexandrov space X with curvature bounded below is a length space with the prope...
© 2018, Pleiades Publishing, Ltd. In the present paper we obtain new metric invariants of metric spa...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
In this expository note, we present a transparent proof of Toponogov's theorem for Alexandrov spaces...
Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound fo...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
If we look for a compactification of the space of Riemannian metrics with conical singularities on a...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the ave...
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms rep...
A metric invariant ak is defined, and we have that ak(X)≤ak(Sn) holds in an Alexandrov space X...
A metric invariant ak is defined, and we have that ak(X) ≤ ak(Sn) holds in an Alexandrov space...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
In this thesis we recall the basic definitions and properties for Alexandrov space and describe two ...
1. Introduction. An Alexandrov space X with curvature bounded below is a length space with the prope...
© 2018, Pleiades Publishing, Ltd. In the present paper we obtain new metric invariants of metric spa...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
In this expository note, we present a transparent proof of Toponogov's theorem for Alexandrov spaces...
Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound fo...
We classify positively curved Alexandrov spaces of dimension $4$ with an isometric circle action up ...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
If we look for a compactification of the space of Riemannian metrics with conical singularities on a...
Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison...
We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the ave...
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms rep...
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