Logic of differential calculus and the Zoo of geometric structures

DOI10.4064/bc110-0-17zbMath1380.58004arXiv1511.06861OpenAlexW2963609718WikidataQ115218218 ScholiaQ115218218MaRDI QIDQ2957381

Alexandre M. Vinogradov

Publication date: 26 January 2017

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06861

zbMATH Keywords

geometric structuresdifferential calculus over commutative algebrasHamiltonian mechanics over commutative algebras

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global differential geometry (53C99) Partial differential equations on manifolds; differential operators (58J99) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) General theory of differentiable manifolds (58A99) Differential invariants (local theory), geometric objects (53A55) Classification of fiber spaces or bundles in algebraic topology (55R15) Differential algebra (13N99)

Related Items (3)

Differential calculus over graded commutative algebras and vector bundles with inner structures ⋮ Einstein algebras in a categorical context ⋮ Alexandre Mikhailovich Vinogradov

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