Présentation
Surname and first name: TODJIHOUNDE Léeonard.
Academic degree: Ph.D in Mathematics.
Occupation: Associate Professor in Mathematics.
Address : Institute of Mathematics and Physical Sciences
Po. Box: 613
Porto-Novo
Rep. of Benin:
Tel : (229) 20222455 Fax: (229) 20222455
E-mail : leonardt@imsp-uac.org ; leonardt67@yahoo.fr
Research interests
-Geometrical structures on manifolds (harmonic, homogeneous and ballhomogeneous 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 responsabilities
- Third World Academic Sciences (TWAS) Prize - Edition 2003.
- Associate Member of Abdus Salam International Center for Theoretical Physic, 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 Oce 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).
List of publications
Books:
"Calcul Differentiel": cours et exercices corrigés, CEPADUES-EDITIONS, Toulouse, 2004, ISBN: 2.85428.652.9.
Papers :
- Harmonic maps and Kaluza-Klein metrics on spheres, arXiv:0809.2725v1 (with M. Benyounes, E. Loubeau)
- g-Natural metrics of constant curvature on tangent bundles, arXiv:0809.1992v1, International Electronic Journal of Geometry,
Vol. 2. No. 1 (2009), 74-94. (with S. Degla and J.-P. Ezin)
- 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, Paci c 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 Mathe- matics and Mathematical Sciences, Volume 2006, Article ID 73094, 1-11. DOI 101155/IJMMS/2006/73094.
- Dualistic structures on warped product manifolds,Di er. Geom. Dyn. Syst., Vol. 8, 2006, pp. 278-284.
- \Ricci flow and geometrical structures related to the volume density function", Bul. Inst. Polyteh. Iasi, Sect.I, vol. 3-4, 2005, pp. 1-8.
- "Ricci deformation and conformal change of metrics", Bul. Cal. Math. Soc., Vol. 95, No.5, 2003, pp. 377-382.
- \Jost maps, ball-homogeneous and harmonic manifolds, Advances in Mathematics, Vol. 172, No.2, 2002, pp. 206-224 (with
J.-P. Ezin).
- "Riemannian manifolds for which the identity is an "-equilibrium map",Differential Geometry and its Appl., Vol.13, 2000, pp. 119-128.
- "Mass center and Jost maps between Riemannian manifolds", Contemporary Problems in Mathematical Physics,World Sci. Publishing, River Edge, NJ, (2000), pp. 118-137 (with J.-P. Ezin).
- "Remark on harmonic (0,2)-tensors", Bul. Inst. Polyteh. Iasi, Sect.I, vol. 3-4, 1999, pp. 25-32. In ICTP-Publications:
- (Bi)-Harmonicity of (warped) product maps, International Centre for Theoretical Physics, IC/2006/002, Trieste, (2006).
- Manifolds with minimal horospheres and bounded derivative stability vector felds, International Centre for Theoretical Physics, IC/2006/003, Trieste, (2006).
- \Some geometric consequences from the Ricci-flow evolution of the geodesic distance function", International Centre for Theoretical Physics, IC/2002/1,Trieste, (2002).
- "Ricci deformation and conformal change of metrics", Internationaln Centre for Theoretical Physics, IC/99/89, Trieste, (1999).
- Center of mass, equilibrium maps and special Riemannian structures, International Centre for Theoretical Physics, IC/99/88, Trieste,
(1999). (with J.-P. Ezin)
Manuscripts
GEOMETRIE PROJECTIVE (PDF)
GEOMETRIE HYPERBOLIQUE (PDF)