Jacobian problems in differential equations and algebraic geometry
Rocky Mountain Journal of Mathematics, 1982 One of these problems, described in §3, concerns polynomial transformations (i.e., transformations T where P and Q are polynomials in x and y) and, hence, is of interest to algebraic geometers, although they would prefer to consider transformations of C.
G. Meisters
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Completeness in partial differential algebraic geometry
Journal of Algebra, 2014 Abstract This paper is part of the model theory of fields of characteristic 0, equipped with m commuting derivation operators ( DCF 0 , m ). It continues to partial differential fields work begun by Wai-Yan Pong, who treated the case m = 1 .
James Freitag
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Differential Geometry Revisited by Biquaternion Clifford Algebra [PDF]
, 2015 In the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras. Clifford algebras yield an excellent representation of the rotation group and of the Lorentz group which are the cornerstones of the theory of moving frames.
Patrick Girard +4 more
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Differential geometry of the Lie algebra of the quantum plane [PDF]
Czechoslovak Journal of Physics, 2005 11 pages, no ...
Salih Çelïk, Sultan A. Çelik
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Finiteness theorems on hypersurfaces in partial differential-algebraic geometry [PDF]
, 2016 James Freitag, Rahim Moosa
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Linear algebra and differential geometry on abstract Hilbert space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n‐dimensional vector spaces. However, while n‐dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as spaces of functions.
Alexey A. Kryukov
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An algebraic model of transitive differential geometry [PDF]
Bulletin of the American Mathematical Society, 1964 Victor Guillemin, Shlomo Sternberg
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Superconformal vertex algebras in differential geometry. I
, 2000 23 ...
Jian Zhou
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GEOMETRIC AND EXTENSOR ALGEBRAS AND THE DIFFERENTIAL GEOMETRY OF ARBITRARY MANIFOLDS [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U ⊂ M, based on the geometric and extensor calculus on an arbitrary smooth manifold M.
V. V. Fernández +2 more
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Advancing Precision Medicine: Algebraic Topology and Differential Geometry in Radiology and Computational Pathology [PDF]
Laboratory investigation; a journal of technical methods and pathologyRichard M. Levenson +10 more
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