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- Simonetta Frittelli, Ezra Newman
- 2000

We first show how, from the general 3rd order ODE of the form z = F (z, z, z, s), one can construct a natural Lorentzian conformal metric on the four-dimensional space (z, z, z, s). When the functionâ€¦ (More)

- S Frittelli, Ezra Newman
- 2003

We show how, beginning with the space of curves in R2 and the space of 2-surfaces in R3, one can define conformal Lorentzian threeand fourdimensional metrics on certain special subspaces. It isâ€¦ (More)

- Simonetta Frittelli, Carlos N. Kozameh, Ezra Newman, Pawel Nurowski
- 2002

We explore and show a natural relationship between all third-order ordinary differential equations that possess a vanishing Wunschmann invariant, with conformal metrics on 3-manifolds and Cartanâ€™sâ€¦ (More)

A major issue in general relativity, from its earliest days to the present, is how to extract physical information from any solution or class of solutions to the Einstein equations. Though certainâ€¦ (More)

This is intended as an introduction to and review of the work of V. I. Arnold and his collaborators on the theory of Lagrangian and Legendrian submanifolds and their associated maps. The theory isâ€¦ (More)

- Ezra Newman, Pawel Nurowski
- 2003

We show that every 2nd order ODE defines a 4-parameter family of projective connections on its 2-dimensional solution space. In a special case of ODEs, for which a certain point transformationâ€¦ (More)

- Simonetta Frittelli, Ezra Newman
- 1998

We first define what we mean by gravitational lensing equations in a general space-time. A set of exact relations are then derived that can be used as the gravitational lens equations in all physicalâ€¦ (More)

- Simonetta Frittelli, Thomas P. Kling, Ezra Newman
- 2000

The phenomenon of gravitational lensing is firmly associated with the physics of a four-dimensional Lorentzian spacetime that satisfies the Einstein equations. Yet, it has become a common practice inâ€¦ (More)

- Thomas P. Kling, Ezra Newman
- 1998

In this work we investigate aspects of light cones in a Schwarzschild geometry, making connections to gravitational lensing theory and to a new approach to General Relativity, the Null Surfaceâ€¦ (More)

- Simonetta Frittelli, Carlos N. Kozameh, Ezra Newman
- 1997

In this work we explore further consequences of a recently developed alternate formulation of general relativity, where the metric variable is replaced by families of surfaces as the primaryâ€¦ (More)