Results 11 to 20 of about 260,962 (154)
Group Invariant Solutions in Mathematical Physics and Differential Geometry
To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages ...
Ian Anderson +2 more
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Manifold Shape: from Differential Geometry to Mathematical Morphology [PDF]
Much progress has been made in extending Euclidean mathematical morphology to more complex structures such as complete lattices or spaces with a non-commutative symmetry group. Such generalizations are important for practical situations such as translation and rotation invariant pattern recognition or shape description of patterns on spherical surfaces.
Jos B. T. M. Roerdink
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Integrable systems arising in differential geometry and mathematical physics
Our thesis is divided into 2 independant chapters each other corresponding to a paper. In the first chapter, we define a notion of isotropic surfaces in O, i.e. on which some canonical symplectic forms vanish. Using the cross-product in O we define a map rho from the Grassmannian of plan of O to the 6 dimension sphere.
Idrisse Khemar
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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
Eric Poisson
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Using the GeoGebra interactive mathematical system in teaching differential geometry. Spatial curves [PDF]
G. A. Klekovkin
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Axiomatic Differential Geometry II-2: Differential Forms [PDF]
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
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Differential K-theory. A survey [PDF]
Generalized differential cohomology theories, in particular differential K-theory (often called "smooth K-theory"), are becoming an important tool in differential geometry and in mathematical physics.
Bär, Christian +2 more
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Multiplicities of Noetherian deformations [PDF]
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
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Symbolic Toolboxes For Differential Geometry and Mathematical Physics
The DifferentialGeometry (DG) software provides advanced mathematical functionalities for research and teaching in the areas of differential geometry, Lie theory, general relativity, and geometric methods for differential equations. The current project will provide additional infrastructure for symbolic computing in differential geometry and its ...
IAN ANDERSON, Torre, Charles
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Marriages of Mathematics and Physics: A Challenge for Biology [PDF]
The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century.
Islami, Arezoo, Longo, Giuseppe
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