We study 2-dimensional submanifolds of the space L(H) of oriented geodesics of hyperbolic 3-space, endowed with the canonical neutral Kähler structure. Such a surface is Lagrangian iff there exists a surface in H orthogonal to the geodesics of Σ. We prove that the induced metric on a Lagrangian surface in L(H) has zero Gauss curvature iff the orthogonal surfaces in H are Weingarten: the eigenva...

We describe a method of constructing Weingarten systems of triply orthogonal coordinates, related to the localized induction equation hierarchy of integrable geometric evolution equations. Submitted to Physics Letters A PACS numbers: 03.40.Gc, 02.40.+m, 11.10.Lm, 68.10-m

We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on which we have defined in natural way a CR-structure of CR-codimension 2. We study the curvature properties of this connection and we give some interesting examples.

The outward–pointing principal null direction of the Schwarzschild Rie-mann tensor is null hypersurface–forming. If the Schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history 1 of an outgoing light–like shell. The outward– pointing principal null direction of the Kerr Riemann tensor is asymptotically (in the neighbourhood of future null infinity...

A connection is made between complete homogeneous symmetric polynomials in Jucys-Murphy elements and the unitary Weingarten function from random matrix theory. In particular we show that hr(J1,...,Jn), the complete homogeneous symmetric polynomial of degree r in the JM elements, coincides with the rth term in the asymptotic expansion of the Weingarten function. We use this connection to determi...

A comprehensive wind-tunnel test program on both a 65o delta an 80o/65o double delta wing model has been recently completed. The program included static and dynamic force tests. A brief description of the various experiments is presented, as well as results that demonstrate the value of the previously proposed "hypersurface" representation of aerodynamic loads in the non-linear and unsteady reg...