Augustin Banyaga
Born: March, 31, 1947
place: Kigali, Rwanda
area of degree:
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Licence es sciences
mathematiques (BS) (1971), University of Geneva, Diplome de Mathematicien(MS)
(1972), University of Geneva
Docteur es Science
Mathematiques (PhD), University of Geneva, 1976.
thesis: Sur la structure des groupes de diffeomorphismes qui
preservent une forme symplectique ou une forme de contact regulière
[On the structure of the groups of diffeomorphisms preserving
a symplectic form or a regular contact form]; advisor: André
Haeflinger
Professor of Mathematics,
Assoc Chair, Mathematics Graduate Studies, Pennsylvania State
University
url: http://www.math.psu.edu/banyaga/
email:
We had help with this web page from Idris Assani and Augustin Banyaga.
Previous positons:
For many years, Dr. Banyaga has been involved in Higher Education and Research in Africa. He is collaborating with the Institute of Mathematics and Physical Sciences in Benin ( IMSP). He is a member of the International Scientific Advisory board of IMSP. He is an editor of Africa Matematika. He is also a member of the United States National Committee for Mathematics ( of National Research Council, and the US National Academy of Sciences).
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Research Current Interests: locally conformal symplectic geometry and Bott-Morse-Floer homology, Contact Geometry and Topology. Most of past research focused on the structure of classical diffeomorphism groups. Themain results are contained in the book " The structure of Classical diffeomorphisms" published by Kluwer Acad. Publishers in 1997. Current interst include Floer Homology and Gauge Theory. Augustin Banyaga has published three books and 50 papers in Differential Topology and Geometry. BOOKS
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PAPERS
A complete and updated list can be obtained directly from Dr. Banyaga.
50. Banyaga, Augustin, Some properties of locally conformal symplectic structures, Comment.Math.Helv. 77 (2002) 383-398
49. Banyaga, Augustin On the geometry of locally conformal symplectic manifolds, Infinite dimensional Lie Groups in Geometry and Representation Theory, World Scientific Publishers (2002), pp 79-91.
48. Banyaga , Augustin and Donato, Paul, A note on isotopies of symplectic and Poisson structures, Infinite dimensional Lie Groups in Geometry and Representation Theory, World Scientific Publishers (2002), pp 138-144
47. Banyaga, Augustin A geometric integration of the extended Lee homomorphism. Journal of Geometry and Physics, 39 (2001) no 1 30-44
46. Banyaga, Augustin Quelques invariants des structures localement conformement symplectiques. Comptes Rendus Acad. Sc. Paris, t. 332, Serie I,(2001), 29-32.
45. Banyaga, Augustin On essential conformal groups and a conformal invariant, Journal of Geometry 68 (2000), 10-15
44. Banyaga, Augustin Some geometrical structures underlying mechanics, Contemporary Problems in Mathematical Physics. J.Govaerts, M.N.Hounkonnou, W.A.Lester,Jr. Ed., World Scientific (2000), 109- 117
43. Banyaga, Augustin and Ezin, J.P.. A conformal invariant characterizing the standard sphere, Topics in Low-Dimensional Topology, A. Banyaga, H.Movahedi-Lankarani, R.Wells Ed., World Scientific Publishers (1999), 93-97.
42. Banyaga, Augustin On Poisson Diffeomorphisms, Analysis on infinite dimensional Lie groups and algebras, H. Heyer and J.Marion, Ed, World Scientific Publishers (1999), 1--8.
41. Banyaga, Augustin The Geometry surrounding the Arnold-Liouville theorem, Advances in Geometry, Progress in Math no 172. Birkhauser(1999) 53--69.
40. Banyaga, Augustin Isomorphisms between classical diffeomorphism groups. Geometry, topology, and dynamics (Montreal, PQ, 1995), 1--15, CRM Proc. Lecture Notes, 15, Amer. Math. Soc., Providence, RI, 1998.
39. Banyaga, Augustin; K-contact flows, Encyclopedia of Mathematics, Supplement Volume 1 (1997) , 325-326.
38. Banyaga, Augustin Instantons and hypercontact structures. II. J. Geom. Phys. 21 (1997), no. 2, 136--148.
37. Banyaga, A.; de la Llave, R.; Wayne, C. E. Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem. J. Geom. Anal. 6 (1996), no. 4, 613--649 (1997).
36. Banyaga, Augustin; Donato, Paul Some remarks on the integration of the Poisson algebra. J. Geom. Phys. 19 (1996), no. 4, 368--378.
35. Banyaga, Augustin Invariants of contact structures and transversally oriented foliations. Ann. Global Anal. Geom. 14 (1996), no. 4, 427--441.
34. Banyaga, Augustin Instantons and hypercontact structures. J. Geom. Phys. 19 (1996), no. 3, 267--276.
33. Torre, Carlos A.; Banyaga, Augustin A characterization of some coadjoint orbits of diffeomorphism subgroups. Cienc. Tecn. 17 (1993), no. 2, 15--38 (1995).
32. Banyaga, Augustin An introduction to symplectic geometry. With an appendix by M. Audin, F. Lalonde, L. Polterovich and the author. Progr. Math., 117, Holomorphic curves in symplectic geometry, 17--40, Birkhäuser, Basel, 1994.
31. Banyaga, Augustin; Golé, Christophe A remark on a conjecture of Arnol\cprime d: linking of spheres and fixed points. Hamiltonian systems and celestial mechanics (Guanajuato, 1991), 23--30, Adv. Ser. Nonlinear Dynam., 4, World Sci. Publishing, River Edge, NJ, 1993.
30. Torre, Carlos A.; Banyaga, Augustin A symplectic structure on coadjoint orbits of diffeomorphism subgroups. Cienc. Tecn. 17 (1993), no. 2, 1--14 (1995).
29. Banyaga, Augustin; McInerney, Andrew On isomorphic classical diffeomorphism groups. III. Ann. Global Anal. Geom. 13 (1995), no. 2, 117--127.
28. Banyaga, Augustin Quelques invariants de la géométrie de contact. (French) [Some invariants of contact geometry] C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 7, 671--674.
27. Banyaga, Augustin; Rukimbira, Philippe On characteristics of circle invariant presymplectic forms. Proc. Amer. Math. Soc. 123 (1995), no. 12, 3901--3906.
26. Banyaga, Augustin On the cohomology class of the action functional. Exposition. Math. 12 (1994), no. 4, 371--379.
25. Banyaga, Augustin; Rukimbira, Philippe Weak stability of almost regular contact foliations. J. Geom. 50 (1994), no. 1-2, 16--27.
24. Banyaga, Augustin On characteristics of hypersurfaces in symplectic manifolds. Differential geometry: geometry in mathematical physics and related topics (Los Angeles, CA, 1990), 9--17, Proc. Sympos. Pure Math., 54, Part 2, Amer. Math. Soc., Providence, RI, 1993.
23. Banyaga, A.; Molino, P. Géométrie des formes de contact complètement intégrables de type toriques. (French) [Geometry of completely integrable contact forms of toric type] Séminaire Gaston Darboux de Géométrie et Topologie Différentielle, 1991--1992 (Montpellier), 1--25, Univ. Montpellier II, Montpellier, 1993.
22. Banyaga, Augustin A note on Weinstein's conjecture. Proc. Amer. Math. Soc. 109 (1990), no. 3, 855--858.
21. Banyaga, Augustin; de la Llave, Rafael; Wayne, C. Eugene Cohomology equations and commutators of germs of contact diffeomorphisms. Trans. Amer. Math. Soc. 312 (1989), no. 2, 755--778.
20. Banyaga, Augustin On isomorphic classical diffeomorphism groups. II. J. Differential Geom. 28 (1988), no. 1, 23--35.
19. Banyaga, Augustin On isomorphic classical diffeomorphism groups. I. Proc. Amer. Math. Soc. 98 (1986), no. 1, 113--118.
18. Banyaga, A. The Calabi invariant and the gauge groups. Symplectic geometry and mechanics (Balaruc, 1983), 3--11, Travaux en Cours, Hermann, Paris, 1985.
17. Banyaga, A. The mass flow homomorphism and topological extensions of the group of homeomorphisms. Proceedings of the IUTAM-ISIMM symposium on modern developments in analytical mechanics, Vol. I (Torino, 1982). Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 117 (1983), suppl. 1, 35--38.
16 . Banyaga, A.; Urwin, R. W. On the cohomology of the diffeomorphisms group. Proceedings of the IUTAM-ISIMM symposium on modern developments in analytical mechanics, Vol. I (Torino, 1982). Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 117 (1983), suppl. 1, 7--34.
15. Banyaga, Augustin Sur la géométrie de l'homomorphisme flux. (French) [On the geometry of the flux homomorphism] C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 16, 725--727.
14. Banyaga, A. On the group of diffeomorphisms preserving an exact symplectic form. Differential topology (Varenna, 1976), pp. 5--9, Liguori, Naples, 1979.
13. Banyaga, Augustin; Urwin, Ross W. Sur la cohomologie du groupe des difféomorphismes. (French) [On the cohomology of the group of diffeomorphisms] C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 18, 625--627.
12. Banyaga, Augustin; Pulido, Javier On the group of contact diffeomorphisms of ${R}\sp{2n+1}$. Bol. Soc. Mat. Mexicana (2) 23 (1978), no. 2, 43--47.
11. Banyaga, Augustin On fixed points of symplectic maps. Invent. Math. 56 (1980), no. 3, 215--229.
10. Banyaga, Augustin On the structure of the automorphism group of a toral action. Hadronic J. 2 (1979), no. 2, 296--320.
9. Banyaga, Augustin Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique. (French) Comment. Math. Helv. 53 (1978), no. 2, 174--227.
8. Banyaga, Augustin The group of diffeomorphisms preserving a regular contact form. Topology and algebra (Proc. Colloq., Eidgenöss. Tech. Hochsch., Zurich, 1977), pp. 47--53, Monograph. Enseign. Math., 26, Univ. Genève, Geneva, 1978.
7. Banyaga, Augustin On the structure of the group of equivariant diffeomorphisms. Topology 16 (1977), no. 3, 279--283.
6. Banyaga, Augustin Sur la structure de certains groupes de difféomorphismes. (French) Publ. Dép. Math. (Lyon) 13 (1976), no. 3, 57--61.
5. Banyaga, Augustin Sur le groupe des automorphismes d'un $T\sp{n}$-fibré principal. C. R. Acad. Sci. Paris Sér. A-B 284 (1977), no. 11, A619--A622.
4. Banyaga, A. Sur le groupe des difféomorphismes symplectiques. (French) Differential topology and geometry (Proc. Colloq., Dijon, 1974), pp. 50--56. Lecture Notes in Math., Vol. 484, Springer, Berlin, 1975.
3. Banyaga, Augustin Sur le groupe des difféomorphismes qui préservent une forme de contact régulière. (French) C. R. Acad. Sci. Paris Sér. A-B 281 (1975), no. 16, Aii, A707--A709.
2. Banyaga, Augustin Formes-volume sur les variétés à bord. (French) Enseignement Math. (2) 20 (1974), 127--131.
1. Banyaga, Augustin Sur le groupe des difféomorphismes symplectiques. (French) C. R. Acad. Sci. Paris Sér. A 278 (1974), 1343--1344.
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