LENGTHENING DEFORMATIONS OF SINGULAR HYPERBOLIC TORI

Using the generalization by Richard Cleyton and Andrew Swann of the Berger-Simons holonomy theorem to the case of connections with torsion [3], Paul-Andi Nagy showed recently [6]

Thus a small angle of intersection requires that at least one of the geodesies is long. The negative curvature, non-abelian case of F\f) is more complex; the lengths of

A substantial number of results in classical differential geometry charac- terize the spheres among the compact surfaces in the Euclidean three-dimen- sional space with

It is a well known result in Riemannian and Pseudo-Riemannian Geometry that the theory of codimension-1 (admissible) immersions of a simply connected manifold M into a space form

have been dealt with. This concludes the proof. We recall a few facts about Nielsen extensions of hyperbolic surfaces with boundary. With the above require- ments on S, the

Given a closed hyperbolic Riemannian surface, the aim of the present paper is to describe an explicit construction of smooth deformations of the hyperbolic metric into Finsler

— A well-known theorem of Wolpert shows that the Weil–Petersson symplectic form on Teichmüller space, computed on two infinitesimal twists along simple closed geodesics on a

We give a formula for the topological pressure of the geodesic flow of a compact rank 1 manifold in terms of the growth of the number of closed hyperbolic (rank 1) geodesics.. We