Adresse Domaines de recherche Publications

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Institut de Mathématiques et de Sciences Physiques

Boîte Postale: 613 Porto-Novo, Rép. du Bénin

Tél :(229) 222455/361604 ; Fax: (229) 222455

E-mail: leonardt67@yahoo.fr  

 

• Structures géométriques sur les variétés (variétés harmoniques, structures  homogènes, tenseurs harmoniques, etc.) et géométrie asymptotique.
• Analyse globale et harmonique sur les variétés.
• Calcul variationnel et Problèmes non-linéaires provenant de méthodes de déformation comme la déformation de Ricci, le flow de courbure moyenne, etc.
• Méthodes géométriques en physique.
• Convexité et Systèmes dynamiques.

 

 Books

L. Todjihounde, ”Calcul Différentiel”: cours et exercices corrigés, CEPADUES-EDITIONS, Toulouse, 2004, ISBN: 2.85428.652.9.

Papers

1 - 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.

2 - Dualistic structures on warped product manifolds, Differ. Geom. Dyn. Syst., Vol. 8, 2006, 278-284.

3 - “Ricci flow and geometrical structures related to the volume density function”, Bul. Inst. Polyteh. Iasi, Sect.I, (2005).

4 - ”Ricci deformation and conformal change of metrics”, Bul. Cal. Math. Soc., Vol. 95, No.5 (2003), 377-382.

5 - “Jost maps, ball-homogeneous and harmonic manifolds, Advances in Mathematics, Vol.172, No.2 (2002), 206-224. (with J.-P. Ezin)

6 - ”Riemannian manifolds for which the identity is an "-equilibrium map”, Diff. Geom. Appl., Vol.13 (2000), 119-128.

7 - ”Mass center and Jost maps between Riemannian manifolds”, Contemporary Problems in Mathematical Physics, World Sci. Publishing, NJ, (2000), 118-137. (with J.-P. Ezin)

8 - ”Remark on harmonic (0,2)-tensors”, Bul. Inst. Polyteh. Iasi, Sect.I, vol. 3-4 (1999), 25-32.

9 - Harmonic nets in metric spaces, preprint. (with J. Jost)
 

10 - Mean-value property on manifolds with minimal horospheres, preprint.

In ICTP-Publications:
 

• L. Todjihounde, (Bi)-Harmonicity of (warped) product maps, International
  Centre for Theoretical Physics, IC/2006/002, Trieste, (2006).

• L. Todjihounde, Manifolds with minimal horospheres and bounded derivative
  stability vector fields, International Centre for Theoretical Physics,
  IC/2006/003, Trieste, (2006).

• L. Todjihounde, “Some geometric consequences from the Ricci-flow evolution
  of the geodesic distance function”, International Centre for Theoretical
  Physics, IC/2002/1, Trieste, (2002).

• L. Todjihounde, ”Ricci deformation and conformal change of metrics”, International
  Centre for Theoretical Physics, IC/99/89, Trieste, (1999).

• J.-P. Ezin, L. Todjihounde, Center of mass, equilibrium maps and special
  Riemannian structures, International Centre for Theoretical Physics,
  IC/99/88, Trieste, (1999). (with J.-P. Ezin)