Gatsé, S.C. (2016) Hamiltonian Vector Field on Locally Conformally Symplectic Manifold. International Mathematical Forum, 11, 933-941.
https://doi.org/10.12988/imf.2016.6666

has been cited by the following article:

• TITLE: Some Properties of First Order Differential Operators

  AUTHORS: Servais Cyr Gatse

  KEYWORDS: Commutative Algebra, Differential Operators, Module of Differentials

  JOURNAL NAME: Advances in Pure Mathematics, Vol.9 No.11, November 27, 2019

  ABSTRACT: We study some properties of first order differential operators from an algebraic viewpoint. We show this last can be decomposed in sum of an element of a module and a derivation. From a geometric viewpoint, we give some properties on the algebra of smooth functions. The Dirac mass at a point is the best example of first order differential operators at this point. This allows to construct a basis of this set and its dual basis.