Fundamentals for symplectic $$
\mathcal{A}
$$-modules. Affine Darboux theorem |
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| Authors: | Anastasios Mallios Patrice P Ntumba |
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| Institution: | (1) Department of mathematics, University of Athens, Athens, Greece;(2) Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, 0002, Republic of South Africa |
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| Abstract: | In his 9–11], the first author shows that the sheaf-theoreti-cally based Abstract Differential Geometry incorporates and generalizes classical differential geometry. Here, we undertake to explore the implications of Abstract Differential Geometry to classical symplectic geometry. The full investigation will be presented elsewhere.
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| Keywords: |   -module" target="_blank">gif" alt="${\cal A}$" align="middle" border="0">-module Vector sheaf Ordered ℝ -algebraized space  Symplectic  -structure" target="_blank">gif" alt="${\cal A}$" align="middle" border="0">-structure Symplectic group sheaf Affine Darboux theorem |
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