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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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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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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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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Formal differential geometry and Nambu-Takhtajan algebra [PDF]
Banach Center Publications, 1997 YURI L. DALETSKII, Vitaly Kushnirevitch
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Differential geometry of systems of projections in Banach algebras [PDF]
Pacific Journal of Mathematics, 1990 Gustavo Corach +2 more
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Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities [PDF]
Mathematical physics, analysis and geometry, 2022 In a 1979 paper, Okamoto introduced the space of initial values for the six Painlevé equations and their associated Hamiltonian systems, showing that these define regular initial value problems at every point of an augmented phase space, a rational ...
T. Kecker, G. Filipuk
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Jacobian problems in differential equations and algebraic geometry
Rocky Mountain Journal of Mathematics, 1982 G. Meisters
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