Displaying similar documents to “An example of a flexible polyhedron with nonconstant volume in the spherical space.”

Receding polar regions of a spherical building and the center conjecture

Bernhard Mühlherr, Richard M. Weiss (2013)

Annales de l’institut Fourier

Similarity:

We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.

Spherical quadrangles.

Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)

Beiträge zur Algebra und Geometrie

Similarity:

On the five-point theorems due to Lappan

Yan Xu (2011)

Annales Polonici Mathematici

Similarity:

By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.

Asymptotic spherical analysis on the Heisenberg group

Jacques Faraut (2010)

Colloquium Mathematicae

Similarity:

The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair....