41 citations · 313 across the 46 of their papers we have counts for
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The mathematical and geometrical structure of the spacetime and the concept of unification, matter and energy
Diego Julio Cirilo-Lombardo
Geometrical analysis of a new type of Unified Field Theoretical models follow the guidelines of previous works of the authors is presented. These new unified theoretical models are…
Information metric from Riemannian superspaces
Diego Julio Cirilo-Lombardo, Victor I. Afonso
The Fisher's information metric is introduced in order to find the real meaning of the probability distribution in classical and quantum systems described by Riemaniann non-degener…
Geometrical properties of Riemannian superspaces, observables and physical states
Diego Julio Cirilo-Lombardo
Classical and quantum aspects of physical systems that can be described by Riemannian non degenerate superspaces are analyzed from the topological and geometrical points of view. F…
Quantum particle on a Mobius strip, coherent states and projection operators
Diego Julio Cirilo-Lombardo
The coherent states for a quantum particle on a Möbius strip are constructed and their relation with the natural phase space for fermionic fields is shown. The explicit comparison…
Quaternionic and Hyper-Kähler Metrics from Generalized Sigma Models
V. I. Afonso, D. Bazeia, D. J. Cirilo-Lombardo
The problem of finding new metrics of interest, in the context of SUGRA, is reduced to two stages: first, solving a generalized BPS sigma model with full quaternionic structure pro…