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

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DOI

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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     author = {THEOFANIDIS, TH.},
     title = {REAL {HYPERSURFACES} {OF} {NON-FLAT} {COMPLEX} {SPACE} {FORMS} {WITH} {GENERALIZED} {\ensuremath{\xi}-PARALLEL} {JACOBI} {STRUCTURE} {OPERATOR}},
     journal = {Glasgow mathematical journal},
     pages = {677--687},
     year = {2016},
     volume = {58},
     number = {3},
     doi = {10.1017/S0017089515000403},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000403/}
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