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Differential algebra (contravariant analytic methods in differential geometry) [PDF]

Journal of Soviet Mathematics, 1980
The problems of developing the apparatus of differential-geometric investigations based on the calculus of differential operators on bundles of semiholonomic jets of Ehresmann are considered.
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Algebraic Topology Via Differential Geometry

, 1988
Introduction 1. Algebraic preliminaries 2. differential forms on an open subset of Rn 3. differentiable manifolds 4. De Rham cohomology of differentiable manifolds 5. Computing cohomology 6.
M. Karoubi, C. Leruste
semanticscholar   +1 more source

Noncommutative geometry with graded differential Lie algebras

Journal of Mathematical Physics, 1997
Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the Connes–Lott prescription of noncommutative geometry, differs from that, however, by the implementation of unitary
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Current Algebras, the Sugawara Model, and Differential Geometry

Journal of Mathematical Physics, 1970
The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential ...
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Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups

, 1972
James Ax
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Some Topics in Differential Algebraic Geometry II: On the Zeros of Theta Functions

, 1972
James Ax
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An algebraic geometry approach for the computation of all linear feedback Nash equilibria in LQ differential games

IEEE Conference on Decision and Control, 2015
C. Possieri, M. Sassano
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A constructive theory of differential algebraic geometry based on works of J.F. Ritt with particular applications to mechanical theorem-proving of differential geometries

, 1987
Wen-tsün Wu
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Finiteness results in differential algebraic geometry and Diophantine geometry

, 2005
D. Schlomiuk, Andreĭ Bolibrukh, S. Yakovenko, V. Kaloshin, A. Buium   +4 more
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Differential Geometry I

, 1994
Richard A. Mould
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