Joshua Leslie

Presenting "Lie's Third Theorem in Infinite Dimensions"

Born:

place:

Jamaica

PhD Sorbonne Paris, 1960

Chair of the Department of Mathematics at Howard University.

URL: http://www.coas.howard.edu/mathematics/faculty/leslie.html
email: leslie@scs.howard.edu

Dr. Joshua Leslie is also the father of Dr. Nandi Leslie whose Ph.D. (2005) is in Applied and Computational Mathematics and Ecology and Evolutionary Biology, Princeton University.

Research

A search of Mathematical Reviews shows Dr. Joshua Leslie has published 19 papers in the areas of Algebraic and Differential Geometry.

20. A.Banyaga, J.Leslie, T. Robart Editors, Infinite Dimensional Lie groups in Geometry and Representation Theory. World Scientific Publishers (2002)

19. Leslie, J. Some integrable subalgebras of the Lie algebras of infinite-dimensional Lie groups. Trans. Amer. Math. Soc. 333 (1992), no. 1, 423--443.

18. Leslie, J. A path functor for Kac-Moody Lie algebras. Lie theory, differential equations and representation theory (Montreal, PQ, 1989), 265--270, Univ. Montréal, Montreal, PQ, 1990.

17. Leslie, J. Erratum: On the Lie subgroups of infinite-dimensional Lie groups. Bull. Amer. Math. Soc. (N.S.) 17 (1987), no. 1, 210.

16. Leslie, J. On the Lie subgroups of infinite-dimensional Lie groups. Bull. Amer. Math. Soc. (N.S.) 16 (1987), no. 1, 105--108.

15. Leslie, Joshua Some finite-codimensional Lie subgroups of ${\rm Diff}\sp \omega(M)$ . Differential geometry, calculus of variations, and their applications, 359--372, Lecture Notes in Pure and Appl. Math., 100, Dekker, New York, 1985.

14. Leslie, J. A. A "generic" property of real analytic differential equations on a compact analytic manifold. Boll. Un. Mat. Ital. B (6) 2 (1983), no. 3, 669--679.

13. Leslie, J. On the group of real analytic diffeomorphisms of a compact real analytic manifold. Trans. Amer. Math. Soc. 274 (1982), no. 2, 651--669.

12. Leslie, J. A. A Lie group structure for the group of analytic diffeomorphisms. Boll. Un. Mat. Ital. A (6) 2 (1983), no. 1, 29--37.

11. Leslie, J. A remark on the group of automorphisms of a foliation having a dense leaf. J. Differential Geometry 7 (1972), 597--601.

10. Leslie, J. Two classes of classical subgroups of ${\rm Diff}(M)$. J. Differential Geometry 5 (1971), 427--435.

9. Leslie, J. A. On the closed graph theorem. Nigerian J. Sci. 1 1967 no. 2 179--181.

8. Leslie, J. A. Some Frobenius theorems in global analysis. J. Differential Geometry 2 1968 279--297.

7. Leslie, J. A. On a differential structure for the group of diffeomorphisms. Topology 6 1967 263--271.

6. Leslie, J. A. On a theorem of E. Cartan. Ann. Mat. Pura Appl. (4) 74 1966 173--177.

5. Leslie, Joshua Sur l'intégration dans les groupes de Whitehead gradués. (Italian) C. R. Acad. Sci. Paris 259 1964 34--37.

4. Leslie, Joshua Sur les opérations cohomologiques. (French) C. R. Acad. Sci. Paris 256 1963 4815--4817.

3. Leslie, Joshua Sur l'existence des groupes simpliciaux minimaux. (French) C. R. Acad. Sci. Paris 251 1960 2854--2856.

2. Leslie, Joshua Modules simpliciaux sur une algèbre simpliciale. (French) C. R. Acad. Sci. Paris 251 1960 22--23, 190--191.

1. Leslie, Joshua Modules simpliciaux sur une algèbre simpliciale. (French) C. R. Acad. Sci. Paris 248 1959 2692--2694.

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