THE KV-COHOMOLOGY AND LOCALLY FLAT HYPERSURFACES

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  • [1] Defever, F.; Deszcz, R.; Verstraelen, L. and Yaprak,S., Pseudosymmetry type curvature properties of hypersurfaces, Proceedings of the Conferences on Differential Geometry and Vision, Theory of Submanifolds, (1992), 109-131.
  • [2] Delanoe, Ph., Remarques sur les vari´et´es localement hessiennes, Osaka J. Math. 26 (1989), 65-69.
  • [3] Duggal, Krishan L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, Dordrecht, 1996.
  • [4] Koszul, J.L, Vari´et´es locament plates et convexit´e, Osaka J. Math. 2 (1965), 285-290.
  • [5] Koszul, J.L, D´eformations des connexions localement plates, Ann.Inst.Fourrier 18 (1968),103-114.
  • [6] Koszul, J.L, Connexions hyperboliques et d´eformations, Sympos. Math. 11 (1968), 357-361.
  • [7] Nguiffo Boyom, M., The Cohomology of Koszul-Vinberg Algebras, Pacific Journal of Mathematics, 225 (2005), no. 1, 101-134.
  • [8] Nguiffo Boyom, M., Some Lagrangian invariants of symplectic manifolds, Banach Center Publications, 74 (2007).
  • [9] Nguiffo Boyom, M. and Wolak, R., Local structure Koszul-Vinberg and Lie algebroids, Bull. Sci. Math 2 (2004), no. 6, 467-479.
  • [10] Shima, H., The geometry of Hessian structures, World Scientific Publishing, 2007.