Geodesic
REAL HYPERSURFACES OF NON-FLAT COMPLEX SPACE FORMS WITH GENERALIZED ξ-PARALLEL JACOBI STRUCTURE OPERATOR
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 677-687

Voir la notice de l'article provenant de la source Cambridge University Press

The aim of the present paper is the classification of real hypersurfaces M equipped with the condition Al = lA, l = R(., ξ)ξ, restricted in a subspace of the tangent space T p M of M at a point p. This class is large and difficult to classify, therefore a second condition is imposed: (∇ξ l)X = ω(X)ξ + ψ(X)lX, where ω(X), ψ(X) are 1-forms. The last condition is studied for the first time and is much weaker than ∇ξ l = 0 which has been studied so far. The Jacobi Structure Operator satisfying this weaker condition can be called generalized ξ-parallel Jacobi Structure Operator. 
THEOFANIDIS, TH. REAL HYPERSURFACES OF NON-FLAT COMPLEX SPACE FORMS WITH GENERALIZED ξ-PARALLEL JACOBI STRUCTURE OPERATOR. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 677-687. doi: 10.1017/S0017089515000403
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