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Some Results on Maps That Factor through a Tree

Roger Züst (2015)

Analysis and Geometry in Metric Spaces

We give a necessary and sufficient condition for a map deffned on a simply-connected quasi-convex metric space to factor through a tree. In case the target is the Euclidean plane and the map is Hölder continuous with exponent bigger than 1/2, such maps can be characterized by the vanishing of some integrals over winding number functions. This in particular shows that if the target is the Heisenberg group equipped with the Carnot-Carathéodory metric and the Hölder exponent of the map is bigger than...

Some results on metric trees

Asuman Güven Aksoy, Timur Oikhberg (2010)

Banach Center Publications

Using isometric embedding of metric trees into Banach spaces, this paper will investigate barycenters, type and cotype, and various measures of compactness of metric trees. A metric tree (T, d) is a metric space such that between any two of its points there is a unique arc that is isometric to an interval in ℝ. We begin our investigation by examining isometric embeddings of metric trees into Banach spaces. We then investigate the possible images x₀ = π((x₁ + ... + xₙ)/n), where π is a contractive...

Some results on odd astral configurations.

Berman, Leah Wrenn (2006)

The Electronic Journal of Combinatorics [electronic only]

Some Trigonometric Inequalities.

J. Steinig (1972)

Elemente der Mathematik

Sopra una classe di piani $(R, r)$ -transitivi

Claudio Bartolone, Federico Bartolozzi (1979)

Rendiconti del Seminario Matematico della Università di Padova

Součet úhlů ve čtyřstěnu

Jan Brandts, Apo Cihangir, Michal Křížek (2015)

Pokroky matematiky, fyziky a astronomie

Spaces with exceptional fundamental groups.

Rosenfeld, Boris A. (1993)

Publications de l'Institut Mathématique. Nouvelle Série

Span in incidence structures of independent sets defined on projective space

Vladimír Slezák (2000)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Special automorphisms of nets with Baer subnets

Jaroslava Jachanová (1981)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Special Lagrangian linear subspaces in product symplectic space

Małgorzata Mikosz (2004)

Banach Center Publications

The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism $f : (ℝ^{2 n}, σ = \sum_{i = 1}^{n} d x_{i} \land d y_{i}) \to (ℝ^{2 n}, σ)$ to be a special Lagrangian linear subspace in $(ℝ^{2 n} \times ℝ^{2 n}, ω = π * ₂ σ - π * ₁ σ)$ . This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian $S Λ_{2 n} ≃ S U (2 n) / S O (2 n)$ is defined.