-
1
-
-
25144486553
-
Élie Cartan (1869-1951)
-
American Mathematical Society, Providence, RI
-
Akivis, M.A., Rosenfeld, B.A., 1993. Élie Cartan (1869-1951); Translations. Math. Monographs, vol. 123. American Mathematical Society, Providence, RI.
-
(1993)
Translations. Math. Monographs
, vol.123
-
-
Akivis, M.A.1
Rosenfeld, B.A.2
-
2
-
-
0042962804
-
Three-dimensional object recognition using invariant Euclidean signature curves
-
He, T.-X., Shiue, P.J.S., Li, Z. (Eds.), Nova Science Publ., Inc., New York
-
Ames, A.D., Jalkio, J.A., Shakiban, C., 2002. Three-dimensional object recognition using invariant Euclidean signature curves. In: He, T.-X., Shiue, P.J.S., Li, Z. (Eds.), Analysis, Combinatorics and Computing. Nova Science Publ., Inc., New York, pp. 13-23.
-
(2002)
Analysis, Combinatorics and Computing
, pp. 13-23
-
-
Ames, A.D.1
Jalkio, J.A.2
Shakiban, C.3
-
4
-
-
0013056721
-
-
Technical Report. Utah State University
-
Anderson, I.M., 2000. The Vessiot Handbook. Technical Report. Utah State University.
-
(2000)
The Vessiot Handbook
-
-
Anderson, I.M.1
-
5
-
-
0041459845
-
Structure From Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants
-
Brown University (preprint)
-
Bazin, P.-L., Boutin, M., 2002. Structure From Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants. Brown University (preprint).
-
(2002)
-
-
Bazin, P.-L.1
Boutin, M.2
-
7
-
-
0034461778
-
Numerically invariant signature curves
-
Boutin, M., 2000. Numerically invariant signature curves. Int. J. Computer Vision 40, 235-248.
-
(2000)
Int. J. Computer Vision
, vol.40
, pp. 235-248
-
-
Boutin, M.1
-
8
-
-
21144447121
-
Polygon recognition and symmetry detection
-
(in press)
-
Boutin, M., 2003. Polygon recognition and symmetry detection. Found. Comput. Math. (in press).
-
(2003)
Found. Comput. Math.
-
-
Boutin, M.1
-
9
-
-
0000061930
-
Geometric integration: Numerical solution of differential equations on manifolds
-
Budd, C.J., Iserles, A., 1999. Geometric integration: numerical solution of differential equations on manifolds. Phil. Trans. Roy. Soc. London A 357, 945-956.
-
(1999)
Phil. Trans. Roy. Soc. London A
, vol.357
, pp. 945-956
-
-
Budd, C.J.1
Iserles, A.2
-
10
-
-
0032001388
-
Differential and numerically invariant signature curves applied to object recognition
-
Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., Haker, S., 1998. Differential and numerically invariant signature curves applied to object recognition. Int. J. Computer Vision 26, 107-135.
-
(1998)
Int. J. Computer Vision
, vol.26
, pp. 107-135
-
-
Calabi, E.1
Olver, P.J.2
Shakiban, C.3
Tannenbaum, A.4
Haker, S.5
-
11
-
-
0030495603
-
Affine geometry, curve flows, and invariant numerical approximations
-
Calabi, E., Olver, P.J., Tannenbaum, A., 1996. Affine geometry, curve flows, and invariant numerical approximations. Adv. Math. 124, 154-196.
-
(1996)
Adv. Math.
, vol.124
, pp. 154-196
-
-
Calabi, E.1
Olver, P.J.2
Tannenbaum, A.3
-
12
-
-
0007011924
-
La Méthode du Repère Mobile, la Théorie des Groupes Continus, et les Espaces Généralisés
-
Exposés de Géométrie No. 5. Hermann, Paris
-
Cartan, É., 1935. La Méthode du Repère Mobile, la Théorie des Groupes Continus, et les Espaces Généralisés, Exposés de Géométrie No. 5. Hermann, Paris.
-
(1935)
-
-
Cartan, É.1
-
14
-
-
0001302031
-
Moving coframes. I. A practical algorithm
-
Fels, M., Olver, P.J., 1998. Moving coframes. I. A practical algorithm. Acta Appl. Math. 51, 161-213.
-
(1998)
Acta Appl. Math.
, vol.51
, pp. 161-213
-
-
Fels, M.1
Olver, P.J.2
-
15
-
-
0001616691
-
Moving coframes. II. Regularization and theoretical foundations
-
Fels, M., Olver, P.J., 1999. Moving coframes. II. Regularization and theoretical foundations. Acta Appl. Math. 55, 127-208.
-
(1999)
Acta Appl. Math.
, vol.55
, pp. 127-208
-
-
Fels, M.1
Olver, P.J.2
-
16
-
-
0001469020
-
The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
-
Green, M.L., 1978. The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces. Duke Math. J. 45, 735-779.
-
(1978)
Duke Math. J.
, vol.45
, pp. 735-779
-
-
Green, M.L.1
-
17
-
-
84972552696
-
On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
-
Griffiths, P.A., 1974. On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry. Duke Math. J. 41, 775-814.
-
(1974)
Duke Math. J.
, vol.41
, pp. 775-814
-
-
Griffiths, P.A.1
-
18
-
-
0013149770
-
Exterior Differential Systems and the Calculus of Variations
-
Birkhäuser, Boston
-
Griffiths, P.A., 1983. Exterior Differential Systems and the Calculus of Variations. Progress in Mathematics, vol. 25. Birkhäuser, Boston.
-
(1983)
Progress in Mathematics
, vol.25
-
-
Griffiths, P.A.1
-
21
-
-
0003835647
-
-
Springer-Verlag, New York
-
Hairer, E., Lubich, C., Wanner, G., 2002. Geometric Numerical Integration. Springer-Verlag, New York.
-
(2002)
Geometric Numerical Integration
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
22
-
-
0013151314
-
Orbit reduction of exterior differential systems and group-invariant variational problems
-
Itskov, V., 2001. Orbit reduction of exterior differential systems and group-invariant variational problems. Contemp. Math. 285, 171-181.
-
(2001)
Contemp. Math.
, vol.285
, pp. 171-181
-
-
Itskov, V.1
-
24
-
-
0003289685
-
Higher Order Contact of Submanifolds of Homogeneous Spaces
-
Springer-Verlag, New York
-
Jensen, G.R., 1977. Higher Order Contact of Submanifolds of Homogeneous Spaces. Lecture Notes in Mathematics, vol. 610. Springer-Verlag, New York.
-
(1977)
Lecture Notes in Mathematics
, vol.610
-
-
Jensen, G.R.1
-
25
-
-
0042461650
-
Erweiterung der begriffes der invarianten von transformationgruppen
-
Killing, W., 1890. Erweiterung der begriffes der invarianten von transformationgruppen. Math. Ann. 35, 423-432.
-
(1890)
Math. Ann.
, vol.35
, pp. 423-432
-
-
Killing, W.1
-
26
-
-
0001873556
-
Über diejenigen ebenen Curven, welche durch ein geschlossenes system von einfach unendlich vielen vertauschbaren linearen transformationen in sich übergeben
-
Klein, F., Lie, S., 1987. Über diejenigen ebenen Curven, welche durch ein geschlossenes system von einfach unendlich vielen vertauschbaren linearen transformationen in sich übergeben. Math. Ann. 4, 50-84.
-
(1987)
Math. Ann.
, vol.4
, pp. 50-84
-
-
Klein, F.1
Lie, S.2
-
27
-
-
0005389439
-
Inductive construction of moving frames
-
Kogan, I.A., 2001. Inductive construction of moving frames. Contemp. Math. 285, 157-170.
-
(2001)
Contemp. Math.
, vol.285
, pp. 157-170
-
-
Kogan, I.A.1
-
28
-
-
0042461649
-
-
Personal communication
-
Kogan, I.A., 2002. Personal communication.
-
(2002)
-
-
Kogan, I.A.1
-
29
-
-
0038179928
-
The invariant variational bicomplex
-
Kogan, I.A., Olver, P.J., 2001. The invariant variational bicomplex. Contemp. Math. 285, 131-144.
-
(2001)
Contemp. Math.
, vol.285
, pp. 131-144
-
-
Kogan, I.A.1
Olver, P.J.2
-
30
-
-
0037393424
-
Invariant Euler-Lagrange equations and the invariant variational bicomplex
-
Kogan, I.A., Olver, P.J., 2003. Invariant Euler-Lagrange equations and the invariant variational bicomplex. Acta Appl. Math. 76, 137-193.
-
(2003)
Acta Appl. Math.
, vol.76
, pp. 137-193
-
-
Kogan, I.A.1
Olver, P.J.2
-
31
-
-
84972488090
-
Invariants différentiels d'un pseudogroupe de Lie
-
Kumpera, A., 1975. Invariants différentiels d'un pseudogroupe de Lie. J. Diff. Geom. 10, 289-416.
-
(1975)
J. Diff. Geom.
, vol.10
, pp. 289-416
-
-
Kumpera, A.1
-
32
-
-
84972544023
-
On the local theory of continuous infinite pseudo groups I
-
Kuranishi, M., 1959. On the local theory of continuous infinite pseudo groups I. Nagoya Math. J. 15, 225-260.
-
(1959)
Nagoya Math. J.
, vol.15
, pp. 225-260
-
-
Kuranishi, M.1
-
33
-
-
0013152383
-
Über Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen
-
Lie, S., 1897. Über Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen. Leipz. Berichte 49, 369-410.
-
(1897)
Leipz. Berichte
, vol.49
, pp. 369-410
-
-
Lie, S.1
-
34
-
-
0004020554
-
Vorlesungen über Continuierliche Gruppen mit Geometrischen und Anderen Anwendungen
-
B.G. Teubner, Leipzig
-
Lie, S., Scheffers, G., 1893. Vorlesungen über Continuierliche Gruppen mit Geometrischen und Anderen Anwendungen. B.G. Teubner, Leipzig.
-
(1893)
-
-
Lie, S.1
Scheffers, G.2
-
35
-
-
0041961046
-
Cartan structure of infinite Lie pseudogroups
-
Vassiliou G.J., Lisle, I.G. (Eds.), Cambridge University Press, Cambridge
-
Lisle, I.G., Reid, G.J., 2000. Cartan structure of infinite Lie pseudogroups. In: Vassiliou, P.J., Lisle, I.G. (Eds.), Geometric Approaches to Differential Equations. Austral. Math. Soc. Lect. Ser., vol. 15. Cambridge University Press, Cambridge, pp. 116-145.
-
(2000)
Geometric Approaches to Differential Equations. Austral. Math. Soc. Lect. Ser.
, vol.15
, pp. 116-145
-
-
Lisle, I.G.1
Reid, G.J.2
-
36
-
-
0042461645
-
Algorithms for symmetric differential systems
-
Mansfield, E.L., 2001. Algorithms for symmetric differential systems. Found. Comput. Math. 1, 335-383.
-
(2001)
Found. Comput. Math.
, vol.1
, pp. 335-383
-
-
Mansfield, E.L.1
-
37
-
-
0039244270
-
Differential invariants for parametrized projective surfaces
-
Mari-Beffa, G., Olver, P.J., 1999. Differential invariants for parametrized projective surfaces. Commun. Anal. Geom. 7, 807-839.
-
(1999)
Commun. Anal. Geom.
, vol.7
, pp. 807-839
-
-
Mari-Beffa, G.1
Olver, P.J.2
-
38
-
-
0037192749
-
Moving coframes and symmetries of differential equations
-
Morozov, O., 2002. Moving coframes and symmetries of differential equations. J. Phys. A 35, 2965-2977.
-
(2002)
J. Phys. A
, vol.35
, pp. 2965-2977
-
-
Morozov, O.1
-
39
-
-
0003686926
-
-
second ed., Graduate Texts in Mathematics, Springer-Verlag, New York
-
Olver, P.J., 1993. Applications of Lie Groups to Differential Equations, second ed., Graduate Texts in Mathematics, vol. 107. Springer-Verlag, New York.
-
(1993)
Applications of Lie Groups to Differential Equations
, vol.107
-
-
Olver, P.J.1
-
40
-
-
0003284228
-
Classical Invariant Theory
-
Cambridge University Press, Cambridge
-
Olver, P.J., 1999. Classical Invariant Theory. London Math. Soc. Student Texts, vol. 44. Cambridge University Press, Cambridge.
-
(1999)
London Math. Soc. Student Texts
, vol.44
-
-
Olver, P.J.1
-
41
-
-
0001784808
-
Moving frames and singularities of prolonged group actions
-
Olver, P.J., 2000. Moving frames and singularities of prolonged group actions. Selecta Math. 6, 41-77.
-
(2000)
Selecta Math.
, vol.6
, pp. 41-77
-
-
Olver, P.J.1
-
42
-
-
0001662962
-
Joint invariant signatures
-
Olver, P.J., 2001a. Joint invariant signatures. Found. Comput. Math. 1, 3-67.
-
(2001)
Found. Comput. Math.
, vol.1
, pp. 3-67
-
-
Olver, P.J.1
-
43
-
-
0035790031
-
Geometric foundations of numerical algorithms and symmetry
-
Olver, P.J., 2001b. Geometric foundations of numerical algorithms and symmetry. Appl. Algebra Engrg. Comm. Comput. 11, 417-436.
-
(2001)
Appl. Algebra Engrg. Comm. Comput.
, vol.11
, pp. 417-436
-
-
Olver, P.J.1
-
48
-
-
34250603285
-
Sur les invariants différentiels des groupes continus de transformations
-
Tresse, A., 1894. Sur les invariants différentiels des groupes continus de transformations. Acta Math. 18, 1-88.
-
(1894)
Acta Math.
, vol.18
, pp. 1-88
-
-
Tresse, A.1
-
49
-
-
0003607601
-
-
(Eds.), American Mathematical Society, Providence, RI
-
Vinogradov, A.M., Krasil'shchik, I.S. (Eds.), 1998. Symmetries and Conservation Laws for Differential Equations of Mathematical Physics. American Mathematical Society, Providence, RI.
-
(1998)
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics
-
-
Vinogradov, A.M.1
Krasil'shchik, I.S.2
-
50
-
-
0042962809
-
-
Classical Groups. Princeton University Press, Princeton, NJ
-
Weyl, H., 1946. Classical Groups. Princeton University Press, Princeton, NJ.
-
(1946)
-
-
Weyl, H.1
|