P. M. Fishbane and J. D. Sullivan, Phys. Rev. D 6, 645 (1972) (hereafter known as paper II). 3P. M. Fishbane and J. D. Sullivan, Phys. Rev. D 6, 3568 (1972) (hereafter known as paper III). 4S. D.â€¦ (More)

There are several numerical functions which can be related in the geometric context of Riemannian manifold, especially those which are complete and have constant negative curvature. They are: (i) Theâ€¦ (More)

Two C, r>2, expanding maps of the circle which are absolutely continuously conjugate are C conjugate. Here/and g: S->S are expanding if they stretch tangent vectors in some metric, and a conjugacy isâ€¦ (More)

We consider a complete Riemannian ^-manifold M which is connected and simply connected, and has sectional curvatures k bounded between two finite negative constants, i.e., -b < k < -a. Such aâ€¦ (More)

Much is known about the topology and geometry of the quotient of hyperbolic 3-space t l 3 by the action of a group F of isometrics which has a fundamental polyhedron with finite volume or (moreâ€¦ (More)

We prove the rational egodicity of geodesic flows on divergence type surfaces of constant negative curvature, and identify their asymptotic types. 0. Introduction We discuss recurrence andâ€¦ (More)

The problemâ€”does every closed Riemannian manifold of dimension greater than one have infinitely many geometrically distinct periodic geodesiesâ€”has received much attention. An affirmative answer isâ€¦ (More)

is at most K where | | means distance. Between open sets in Euclidean space, H(x) < K implies <p has many interesting analytic properties. (See Gehring's lecture at this congress.) In the first partâ€¦ (More)