2 citations · 4 across the 3 of their papers we have counts for
5 papers
Information geometric approach to mixed state quantum estimation
Gabriel F. Magno, Carlos H. Grossi, Gerardo Adesso +1
Information geometry promotes an investigation of the geometric structure of statistical manifolds, providing a series of elucidations in various areas of scientific knowledge. In…
On the geometry of the kinematic space in special relativity
Rafael Ferreira, João dos Reis Junior, Carlos H. Grossi
The classifying space of inertial reference frames in special relativity is naturally hyperbolic. There is a remarkable interplay between central elements of hyperbolic geometry an…
Special elliptic isometries, relative SU(2,1)-character varieties, and bendings
Felipe A. Franco, Carlos H. Grossi
We study relations between special elliptic isometries in the complex hyperbolic plane. Relations of lengths 2, 3, and 4 are fully classified. Some relative SU(2,1)-character varie…
Seidel's conjectures in hyperbolic 3-space
Omar Chavez Cussy, Carlos H. Grossi
We prove, in the case of hyperbolic 3-space, a couple of conjectures raised by J. J. Seidel in "On the volume of a hyperbolic simplex", Stud. Sci. Math. Hung. 21, 243-249, 1986. Th…
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.