Hong Van Le

Email: h_v_le@sms.edu.pk

Course: Differential Geometry, Symplectic Topology, Global Analysis

Publications

1. H.V. Le, Statistical manifolds are statistical models, Journal of Geometry, 84
(2005), 83-93.
2. H.V Le, Realizing homology classes by symplectic submanifolds, Proc. of Tensor
and Vector Analysis Seminar XXVI, Moscow 2005, 168-177.
3. H. V. Le, Minimizing deformations of Legendrian submanifolds in the standard
sphere, JDGA, 21, (2004), 297-316.
4. H. V. Le, Geometry of immersed Lagrangian and Legendrian submanifolds,
Proc. of ICAAA 2002, 213-223, World Scientific 2004. Kluwer 2004.
5. H.V. Le, G. Wang, A characterization of minimal Legendrian submanifolds in
S2n+1. Compositio Math. 129 (2001), no. 1, 87-93.
6. A. O. Ivanov, H. V. Le, A. A.Tuzhilin, Planar Manhattan local minimal and
critical networks. European J. of Combinatorics 23,(2002), 949-967.
7. A. O. Ivanov, H. V. Le, A. A.Tuzhilin, Nontrivial critical networks. Singularities
of Lagrangians and a criterion for criticality. (Russian) Mat. Zametki 69
(2001), no. 4, 566–580, transl. in Math. Notes 69 (2001), 514-526.
8. H.V. Le, G. Wang, Anti-complexified Ricci flow on compact symplectic manifolds.
J. Reine Angew. Math. 530 (2001), 17–31.
9. H. V. Le, Compact symplectic manifolds of low cohomogeneity. J. Geom. Phys.
25 (1998), no. 3-4, 205–226.
10. F. Connolly, H. V. Le, K. Ono, Almost complex structures which are compatible
with K¨ahler or symplectic structures. Ann. Global Anal. Geom. 15 (1997),
no. 4, 325–334.
11. H. V. Le, K. Ono , Cup-length estimates for symplectic fixed points. In:
Contact and symplectic geometry (Cambridge, 1994), 268–295, Publ. Newton
Inst., 8, Cambridge Univ. Press, Cambridge, 1996.
12. H. V. Le, K. Ono, Perturbation of pseudo-holomorphic curves. Internat. J.
Math. 7 (1996), no. 6, 771–774.
13. H. V. Le, K. Ono, Symplectic fixed points, the Calabi invariant and Novikov
homology. Topology 34 (1995), no. 1, 155–176.
14. H. V. Le, Effective calibrations in the theory of minimal surfaces. Minimal
surfaces, 133–171, Adv. Soviet Math., 15, Amer. Math. Soc., Providence, RI,
1993.
15. H. V. Le, Application of integral geometry to minimal surfaces. Internat. J.
Math. 4 (1993), no. 1, 89–111.
16. H. V. Le, Curvature estimate for the volume growth of globally minimal submanifolds.
Math. Ann. 296 (1993), no. 1, 103–118.
17. H. V. Le, Globally minimal homogeneous subspaces in compact homogeneous
symplectic spaces. Acta Appl. Math. 24 (1991), no. 3, 275–308.
18. Le Khong Van, Globally minimal homogeneous spaces in regular orbits of the
adjoint representation of classical Lie groups. (Russian) Dokl. Akad. Nauk
SSSR 314 (1990), no. 5, 1065–1068; translation in Soviet Math. Dokl. 42
(1991), no. 2, 592–595
19. Le Khong Van, Jacobi equations on minimal homogeneous submanifolds in homogeneous
Riemannian spaces. (Russian) Funktsional. Anal. i Prilozhen. 24
(1990), no. 2, 50–62, 96; translation in Funct. Anal. Appl. 24 (1990), no. 2,
125–135.
20. Le Khong Van, Every globally minimal surface in compact homogeneous spaces
has an invariant calibration.(Russian) Dokl. Akad. Nauk SSSR 310 (1990), no.
2, 294–297; translation in Soviet Math. Dokl. 41 (1990), no. 1, 66–69.
21. Le Hong Van, Relative calibration and the problem of stability of minimal
surfaces. Lect. Notes in Math., Springer-Verlag, 1990, v1453, 245-262
22. Le Khong Van, Globally minimal surfaces and the curvature tensor of Riemannian
manifolds. (Russian) Trudy Sem. Vektor. Tenzor. Anal. No. 23
(1988), 49–73.
23. Le Khong Van, Minimal surfaces and calibration forms in symmetric spaces.
(Russian) Trudy Sem. Vektor. Tenzor. Anal. No. 22 (1985), 107–118.
24. Le Khong Van Minimal -Lagrangian surfaces in almost Hermitian manifolds.
(Russian) Mat. Sb. 180 (1989), no. 7, 924–936, 991; translation in Math.
USSR-Sb. 67 (1990), no. 2, 379–391.
25. Le Khong Van, Absolutely minimal surfaces and calibrations on orbits of the
adjoint representation of classical Lie groups. (Russian) Dokl. Akad. Nauk
SSSR 298 (1988), no. 6, 1308–1311; translation in Soviet Math. Dokl. 37
(1988), no. 1, 251–254.
26. Le Khong Van, Fomenko, A. T. Volumes of minimal surfaces and the curvature
tensor of Riemannian manifolds. (Russian) Dokl. Akad. Nauk SSSR 300
(1988), no. 6, 1308–1312; translation in Soviet Math. Dokl. 37 (1988), no. 3,
817–820.
27. Le Khong Van, Minimal surfaces in homogeneous spaces. (Russian) Izv. Akad.
Nauk SSSR Ser. Mat. 52 (1988), no. 2, 408–423, 447; translation in Math.
USSR-Izv. 32 (1989), no. 2, 413–427.
28. Le Khong Van, Fomenko, A. T. Lagrangian manifolds and the Maslov index in
the theory of minimal surfaces. (Russian) Dokl. Akad. Nauk SSSR 299 (1988),
no. 1, 42–45; translation in Soviet Math. Dokl. 37 (1988), no. 2, 330–333.
29. Le Khong Van, Fomenko, A. T. A criterion for the minimality of Lagrangian
submanifolds in K¨alerian manifolds. (Russian) Mat. Zametki 42 (1987), no. 4,
559–571, 623; translation in Math. Notes, 1987, v.42, 810-816.
30. Le Khong Van, Growth of a two-dimensional minimal surface. (Russian) Uspekhi
Mat. Nauk 40 (1985), no. 3(243), 209–210.
Recent preprints
31. H.V. Le and K. Ono, Parametrized Gromov-Witten invariant and topology of
symplectomorphism groups, revised version 2006.
32. H.V. Le,Weak equivalence classes of complex vector bundles, arXiv:math.DG/0609074.
33. H.V.Le, Existence of symplectic 3-forms on 7-manifolds, arXiv:math.DG/0603182.