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Let €0  O.2; 1/ be a Schottky group, and let † D H 2=€0 be the corresponding hyperbolic surface. Let C.†/ denote the space of unit length geodesic currents on †. The cohom...
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
We study confined solutions of certain evolutionary partial differential equations (PDE) in 1 + 1 space–time. The PDE we study are Lie–Poisson Hamiltonian systems for quadratic Hamiltonians defined on...
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let Belt(S) be the Banach space of bounded measurable Beltrami differentials μ = μdz/dz on S with L∞-norms. Suppose M(...
Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit. This optical system transmits the electric field, emitted by t...
Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of ...
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
Abstract: We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associated to the...
The elementary local and global influence of geodesic field line curvature on radial dispersion of zonal modes in magnetised plasmas is analysed with a primitive drift wave turbulence model.A net radi...
A theorem due to Bob Geroch and Pong Soo Jang [“Motion of a Body in General Relativity.”Journal of Mathematical Physics 16(1), (1975)] provides a sense in which the geodesic principle has the status o...
We prove a certain unexpected regularity of geodesic restrictions for the (hyperbolic) Casimir operator. We prove a nontrivial bound on L2-norm of a geodesic restriction for eigenfunctions of the Cas...
This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbe...
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible...
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...

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