African University of Science & Technology

Prof. Leonard Todjihounde (Institute of Mathematics and Physical Sciences, Benin)

Education

Prof. Leonard Todjihounde

  • MSc in Mathematics. National University of Benin. 1986-1991
  • Advanced Diploma course in Mathematical Physics. Institute of Mathematics and Physical Sciences. 1993-1994
  • Ph.D. in Mathematics. Max-Planck-Institute for Mathematics, 1995-1998.

Research Interests

  • Geometrical structures on manifolds (harmonic, homogeneous and ball-homogeneous manifolds, hamonic tensors, etc.).
  • Global and harmonic analysis.
  • Variational calculus and nonlinear problems on Riemannian manifolds resulting of deformation’s methods like Ricci deformation, mean-curvature flow, etc.
  • Geometrical methods in Physics.
  • Convexity and dynamical systems.

Distinctions and academic responsibilities

  • Third World Academic Sciences (TWAS) Prize - Edition 2003.
  • Associate Member of Abdus Salam International Center for Theoretical Physics, Trieste (Italy).
  • External Member of the Research Group on Riemannian Geometry and Global Analysis at the Max-Planck-Institute for Mathematics in the Sciences, Leipzig (Germany).
  • Reviewer and Member of the American Mathematical Society (AMS).
  • Coordinator of the Research and External Relations Office at the Institute of Mathematics and Physics, Porto-Novo (Benin).
  • Coordinator (for Benin) of the African Network of Geometry and Algebra Applied to the Development (RAGAAD).
  • Member of Geometries Network (GeoNet).

Selected Publications

  • "g-Natural metrics of constant curvature on tangent bundles", International Electronic Journal of Geometry, Vol. 2. No. 1 (2009), pp. 74-94. (with S. Degla and J.-P. Ezin) arXiv:0809.1992v1
  • "Mean-value property on manifolds with minimal horospheres", Journal of the Australian Mathematical Society, Vol. 84, No. 2, 2008, pp. 277-282.
  • "Harmonic nets in metric spaces", Pacific Journal of Mathematics, Vol. 231, No. 2, 2007, pp. 437-444. (with J. Jost)
  • "A pseudo-vanishing result for harmonic nets", Mathematical Sciences Research Journal, Vol. 10, No. 9, 2006, pp. 229-235.
  • "On the biharmonicity of product maps", International Journal of Mathematics and Mathematical Sciences, Volume 2006, Article ID 73094, 1-11. DOI 101155/IJMMS/2006/73094.
  • "Dualistic structures on warped product manifolds", Differ. Geom. Dyn. Syst., Vol. 8, 2006, pp. 278-284.