Some properties of Norden-Walker metrics

On operators associated with tensor fields

“…Many authors, among them Ganchev [2], Kruchkovich [7,8], Norden [16], Salimov [17][18][19][20][21][22][23][24][25][26][27][28][29], Sato [30], Sekizawa [31], Shirokov [33], Tachibana [34,35], Vishnevskii [37][38][39][40][41], Yano [43,44] have considered pure tensors with respect to an algebraic structure.…”

On Four-Dimensional Paracomplex Structures with Norden Metrics

“…For an application of such a 4-dimensional Walker metric (see [9]). Since the observation of the existence of almost paracomplex structures on Walker 4-manifolds in a paper [20], the Walker 4-manifolds have been intensively studied, e.g., [1,3,4,8,13,14,16,20,22].…”

On 4-dimensional almost para-complex pure-Walker manifolds

“…h i = ∂h ∂x i , for any function h depending on (x 1 , x 2 , x 3 , x 4 ). Such Walker metrics have been intensively investigated, e.g., [11,14,15,18,19].…”