Results 11 to 20 of about 260,962 (154)

Group Invariant Solutions in Mathematical Physics and Differential Geometry

open access: green, 2001
To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages ...
Ian Anderson   +2 more
  +8 more sources

Manifold Shape: from Differential Geometry to Mathematical Morphology [PDF]

open access: closed, 1994
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
openalex   +4 more sources

Integrable systems arising in differential geometry and mathematical physics

open access: green, 2006
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
openalex   +3 more sources

Using the GeoGebra interactive mathematical system in teaching differential geometry. Spatial curves [PDF]

open access: goldVestnik of Orenburg State Pedagogical University. Electronic Scientific Journal, 2019
G. A. Klekovkin
openalex   +2 more sources

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

open access: yes, 2013
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
core   +2 more sources

Differential K-theory. A survey [PDF]

open access: yes, 2011
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
core   +1 more source

Multiplicities of Noetherian deformations [PDF]

open access: yes, 2015
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
core   +1 more source

Symbolic Toolboxes For Differential Geometry and Mathematical Physics

open access: yes, 2017
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
openaire   +1 more source

Marriages of Mathematics and Physics: A Challenge for Biology [PDF]

open access: yes, 2017
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
core   +1 more source

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