Geometric intersection numbers on a five-punctured sphere.

Chiang, Yungyen

Displaying similar documents to “Geometric intersection numbers on a five-punctured sphere.”

On pairs of closed geodesics on hyperbolic surfaces

Nigel J. E. Pitt (1999)

Annales de l'institut Fourier

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In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups $Γ$ . This links the intersection angles and common perpendiculars of pairs of closed geodesics on $Γ / H$ with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian $Δ$ . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.

A minimising property of the radial projection.

Montaldo, S. (1998)

Rendiconti del Seminario Matematico

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Toward a general theory of linking invariants.

Chernov, Vladimir V., Rudyak, Yuli B. (2005)

Geometry & Topology

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On extremal mappings in complex ellipsoids

Armen Edigarian (1995)

Annales Polonici Mathematici

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Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.

Differential geometry of grassmannians and the Plücker map

Sasha Anan’in, Carlos Grossi (2012)

Open Mathematics

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Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometries. For ‘hyperbolic’ grassmannian geometries, we prove some facts (for instance, that the Plücker map is a minimal isometric embedding) that were previously known in the ‘elliptic’ case.