On a generalized class of recurrent manifolds

By Absos Ali Shaikh, A. Patra. 2010

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On pseudosymmetric manifolds (2014, background): “Later various weaker symmetries are studied as generalizations or extensions of Cartan’s notion such as recurrent manifolds by Walker [60], generalized recurrent manifolds by Dubey [23], quasi-generalized recurrent manifolds by Shaikh and Roy [52], weakly generalized recurrent manifolds by Shaikh an”
On equivalency of various geometric structures (2013, unknown): “[30] Consider the operator Hκ(X,Π,Φ) : T 0 4 → T 0 5 defined by Hκ(X,Π,Φ)T = ∇XT −Π(X)⊗ T − Φ(X)⊗ g ∧ S,”