## Evaluation of three-dimensional deformation fields of the Earth by methods of the projective differential geometry. The main linear deformations

Aim. The aim is to solve the problem of evaluating the Earth’s topographic surface deformations using

projective differential geometry methods as an expression of the space metric tensor and the group of main linear

deformation parameters in the spatial geocentric coordinate system. Methodology. Solving the problem is based

on using the homeomorphism transformation (mapping) properties of the three-dimensional continuous and

closed domains of the space with the hypothesis that this transformation has a geophysical origin and was caused