The study of the projective properties of geometric figures.
- His work in geometry included a study of conics, quadrics and projective geometry.
- Under their direction he laid the basis for the important work he was later to achieve in the fields of foundations of geometry, projective geometry, topology, differential invariants and spinors.
- His time for research was now limited but he still made important contributions undertaking research on infinitesimal geometry, projective geometry and the differential geometry of curves and surfaces.
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