5 citations · 6 across the 5 of their papers we have counts for
5 papers
On the endomorphisms of some sheaves of functions
Patrice P. Ntumba
Given a real manifold and its sheaf of -times differentiable real-valued functions, we prove that the sheaf of differenti…
Biorthogonality in -Pairings and Hyperbolic Decomposition Theorem for -Modules
Patrice P. Ntumba, Adaeze C. Orioha
In this paper, as part of a project initiated by A. Mallios consisting of exploring new horizons for \textit{Abstract Differential Geometry} ( la Mallios), \cite{mallios…
On -Transvections and Symplectic -Modules
Patrice P. Ntumba
In this paper, building on prior joint work by Mallios and Ntumba, we show that -\textit{transvections} and \textit{singular symplectic }-\textit{automorphi…
Fundamentals for Symplectic -modules
Anastasios Mallios, Patrice P. Ntumba
Sheaf theoretically based Abstract Differential Geometry incorporates and generalizes all the classical differential geometry. Here, we undertake to partially explore the implicati…
Cofibrations in the Category of Frolicher Spaces. Part I
B. Dugmore, PP. Ntumba
Cofibrations are defined in the category of Frölicher spaces by weakening the analog of the classical definition to enable smooth homotopy extensions to be more easily constructed,…