34 citations · 79 across the 18 of their papers we have counts for
4 papers · 1 filter
Basic coordinate-free non-Euclidean geometry
Sasha Anan'in, Carlos H. Grossi
These lecture notes are based on [arXiv: math/0702714, 0907.4469, 0907.4470]. We introduce and study basic aspects of non-Euclidean geometries from a coordinate-free viewpoint.
Differential geometry of grassmannians and Plucker map
Sasha Anan'in, Carlos H. Grossi
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For `hyperbolic' grassmannian geometries, we prove some facts (for instance,…
Grassmannians and conformal structure on absolutes
Sasha Anan'in, Eduardo C. Bento Goncalves, Carlos H. Grossi
We study grassmannians associated with a linear space with a nondegenerate hermitian form. The geometry of these grassmannians allows us to explain the relation between a (pseudo-)…
Coordinate-free classic geometries
Sasha Anan'in, Carlos H. Grossi
This paper is devoted to a coordinate-free approach to several classic geometries such as hyperbolic (real, complex, quaternionic), elliptic (spherical, Fubini-Study), and lorentzi…