Lagrange schwarzian derivative and symplectic Sturm theory
Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)
- Volume: 2, Issue: 1, page 73-96
 - ISSN: 0240-2963
 
Access Full Article
topHow to cite
topOvsienko, Valentin. "Lagrange schwarzian derivative and symplectic Sturm theory." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.1 (1993): 73-96. <http://eudml.org/doc/73314>.
@article{Ovsienko1993,
	author = {Ovsienko, Valentin},
	journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
	keywords = {multidimensional Lagrange-Schwarzian derivative; linear differential equations; loop groups; linear symplectic space; Newton equations; nonoscillation condition},
	language = {eng},
	number = {1},
	pages = {73-96},
	publisher = {UNIVERSITE PAUL SABATIER},
	title = {Lagrange schwarzian derivative and symplectic Sturm theory},
	url = {http://eudml.org/doc/73314},
	volume = {2},
	year = {1993},
}
TY  - JOUR
AU  - Ovsienko, Valentin
TI  - Lagrange schwarzian derivative and symplectic Sturm theory
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 1993
PB  - UNIVERSITE PAUL SABATIER
VL  - 2
IS  - 1
SP  - 73
EP  - 96
LA  - eng
KW  - multidimensional Lagrange-Schwarzian derivative; linear differential equations; loop groups; linear symplectic space; Newton equations; nonoscillation condition
UR  - http://eudml.org/doc/73314
ER  - 
References
top- [A1] Arnold ( V.I.) . — Ordinary differential equations, MIT Press (1973). Zbl0296.34001MR361233
 - [A2] Arnold ( V.I.) .— Sturm theorems and symplectic geometry, Function Anal. and its Appl.19, n° 1 (1985), pp. 1-10. Zbl0606.58017MR820079
 - [A3] Arnold ( V.I.) . — On a characteristic class intervening in quantization conditions, Funct. Anal. and its Appl.1, n° 1 (1967), pp. 1-14. Zbl0175.20303MR211415
 - [B] Bott ( R.) . — On the iterations of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math.9, n° 2 (1956), pp. 171-206. Zbl0074.17202MR90730
 - [Br] Brown ( K.S.) . — Buildings, Springer-Verlag (1988).
 - [Ca] Carne ( K.) . — The Schwarzian derivative for conformal maps, J. Reine Angew Math.408 (1990), pp. 10-33. Zbl0705.30010MR1058982
 - [C] Coppel ( J.) . — Disconjugacy, Lect. Notes in Math.220 (1970). Zbl0224.34003
 - [FI] Flanders ( H.) .— The Schwarzian as a curvature, J. Diff. Geometry4, n° 4, pp. 515-519. Zbl0232.53005MR276879
 - [Fu] Fuchs ( D.B.) . — Cohomologies of infinite-dimensional Lie algebras, Consultants Bureau, New York (1986). Zbl0667.17005MR874337
 - [Ki] Kirillov ( A.A.) . — Infinite-dimensional Lie groups: their orbits, invariants and representations. Geometry of moments, Lect. Notes in Math.970 (1982), pp. 101-123. Zbl0498.22017MR699803
 - [Kl] Klein ( F.) . — Vorlesungen uber das ikosaeder und die auflosing der gleichungen vom funfen grade, Leipzig (1884). Zbl0803.01037JFM16.0061.01
 - [L] Lagrange ( J.-L.) . — Sur la construction des cartes géographiques, Nouveaux Mémoires de l'Académie de Berlin (1779).
 - [M] Morse ( M.) . — A generalization of the Sturm theorems in n-space, Math. Ann.103 (1930), pp. 52-69. Zbl56.1078.03JFM56.1078.03
 - [N] Nehari ( Z.) . — The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc.55, n° 6 (1949). Zbl0035.05104MR29999
 - [O1] Ovsienko ( V. Yu.) .— Hook Law and Denogardus Great Number, Kvant8 (1989) pp. 8-16 (Russian).
 - [O2] Ovsienko ( V. Yu.). — Lagrange Schwarzian derivative, Vestnik Moscow State University6 (1889), pp. 42-45 (Russian). Zbl0707.70005MR1065975
 - [R] Royan ( J.) . — Generalised Schwarzian derivatives for generalised fractional linear transformations, Annales Polinici Math. (to appear). Zbl0762.15013
 - [RS] Retakh ( V.) and Shander ( V.) .— Noncommutative analogues of the Schwarzian derivative, Preprint.
 - [T] Tabachnikov ( S.) .— Projective structures and group Vey cocycle, Preprint E.N.S. de Lyons (1992).
 
Citations in EuDML Documents
top- S. Bouarroudj, V. Ovsienko, Schwarzian derivative related to modules of differential operators on a locally projective manifold
 - Gloria Marí Beffa, Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
 - Boujemaa Agrebaoui, Raja Hattab, -cocycles on the group of contactomorphisms on the supercircle generalizing the Schwarzian derivative
 - Gloria Marí Beffa, Moving frames, Geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
 - Boris Doubrov, Igor Zelenko, On geometry of curves of flags of constant type
 
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.