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mathematics (57) 57
science & technology (49) 49
physical sciences (47) 47
exterior differential systems (38) 38
mathematics, applied (22) 22
differential geometry (21) 21
exteriors (18) 18
mathematical analysis (18) 18
mathematics - differential geometry (14) 14
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differential equations (8) 8
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technology (8) 8
calculus (7) 7
exterior calculus (7) 7
mathematical physics (7) 7
partial differential equations (7) 7
computational theory and mathematics (6) 6
computer science (6) 6
exterior differential system (6) 6
geometry and topology (6) 6
manifolds (6) 6
58a15 (5) 5
applications of mathematics (5) 5
conservation laws (5) 5
differential systems, exterior (5) 5
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mathematical and computational physics (5) 5
mathematical models (5) 5
numerical analysis (5) 5
physics, multidisciplinary (5) 5
riemann manifold (5) 5
statistical physics (5) 5
symmetry (5) 5
cartan's method of equivalence (4) 4
classification (4) 4
construction (4) 4
coordinate systems (4) 4
derivatives (4) 4
exterior differential calculus (4) 4
geometria diferencial (4) 4
geometría diferencial (4) 4
mathematical manifolds (4) 4
sistemas diferenciales exteriores (4) 4
theorems (4) 4
topology (4) 4
äusseres differentialsystem (4) 4
53c10 (3) 3
algebraic geometry (3) 3
algorithms (3) 3
approximation (3) 3
calculus of variations (3) 3
curvature (3) 3
differential equations, partial (3) 3
differential forms (3) 3
differentials (3) 3
discrete exterior calculus (3) 3
elementary particles, quantum field theory (3) 3
exterior derivative (3) 3
gravitation (3) 3
group theory (3) 3
high energy physics - theory (3) 3
holonomy (3) 3
lie groups (3) 3
mathematical theorems (3) 3
physics, particles & fields (3) 3
pseudo-riemannian manifold (3) 3
quantum field theories, string theory (3) 3
reduction (3) 3
systèmes différentiels extérieurs (3) 3
theoretical, mathematical and computational physics (3) 3
torsion (3) 3
usage (3) 3
vector fields (3) 3
35a30 (2) 2
37k35 (2) 2
53c29 (2) 2
53c50 (2) 2
bäcklund transformations (2) 2
cartan-kähler theory (2) 2
cartan–kähler theorem (2) 2
cartan–kähler theory (2) 2
cauchy problem (2) 2
classical and quantum gravitation, relativity theory (2) 2
classical differential geometry (2) 2
computational science and engineering (2) 2
computer science, interdisciplinary applications (2) 2
computer science, theory & methods (2) 2
condensed matter (2) 2
control theory (2) 2
darboux integrability (2) 2
differential and algebraic geometry (2) 2
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2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages
Book
Differential geometry and its applications, ISSN 0926-2245, 12/2016, Volume 49, pp. 351 - 371
The k-Dirac operator is a first order differential operator which is natural to a particular class of parabolic geometries which include the Lie contact structures... 
Weighted jets | Cartan–Kähler theorem | Initial value problem | Exterior differential systems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Differential Geometry
Journal Article
1991, Mathematical Sciences Research Institute publications, Volume 18, vii, 475 p. --
Book
The Asian journal of mathematics, ISSN 1093-6106, 2011, Volume 15, Issue 4, pp. 521 - 538
Journal Article
The European physical journal. C, Particles and fields, ISSN 1434-6044, 1/2013, Volume 73, Issue 1, pp. 1 - 5
Journal Article
Acta applicandae mathematicae, ISSN 0167-8019, 5/2005, Volume 87, Issue 1, pp. 147 - 164
Journal Article
Acta applicandae mathematicae, ISSN 0167-8019, 05/2005, Volume 87, Issue 1-3, pp. 147 - 164
We give an elementary introduction to exterior differential systems and the Cartan-Kaehler theorem... 
Theorems | Exteriors | Proving
Journal Article
The Asian journal of mathematics, ISSN 1093-6106, 2007, Volume 11, Issue 4, pp. 699 - 726
We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set of local invariants for a large class of these manifolds. We derive geodesic... 
Engel manifolds | Sub-Finsler geometry | Optimal control theory | Cartan's method of equivalence | Exterior differential systems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | 53B40 | 58A15 | 53C10 | 53C17 | optimal control theory | exterior differential systems | 49J15 | Cartan’s method of equivalence
Journal Article
Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 2008, Volume 4, p. 063
Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2... 
Su-Yang-Mills equations | Maxwell equations | Cartan characters | Exterior differential systems | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | exterior differential systems | SU-Yang-Mills equations
Journal Article
2018, ISBN 012814274X
With this chapter, we come back to Élie Cartan's work by discussing his fundamental contributions in the realm of the integration theory of general systems of Pfaffian equations... 
Exterior calculus | Cartan's existence theorem | Exterior derivative | Pfaffian equation | Bilinear covariant
Book Chapter
Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 2009, Volume 5, p. 095
Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X - i.e... 
Affine distributions | Cartan's method of equivalence | Control theory | Exterior differential systems | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | exterior differential systems | affine distributions | control theory
Journal Article
Mathematics and mechanics of solids, ISSN 1081-2865, 9/2013, Volume 18, Issue 7, pp. 738 - 744
Journal Article
Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 01/2009, Volume 5, p. 087
Journal Article
Differential geometry and its applications, ISSN 0926-2245, 2006, Volume 24, Issue 6, pp. 628 - 651
We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory... 
Sub-Finsler geometry | Optimal control theory | Cartan's method of equivalence | Exterior differential systems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
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