A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-
metric is constructed. The class of these manifolds, where the considered connection exists …

The Riemann extension, introduced by EK Patterson and AG Walker, is a semi-Riemannian
metric with a neutral signature on the cotangent bundle T∗ M of a smooth manifold M …

We study almost hypercomplex structure with Hermitian–Norden metrics on 4-dimensional
Lie groups considered as smooth manifolds. All the basic classes of a classification of 4 …

We study almost hypercomplex structure with Hermitian-Norden metrics on 4-dimensional
Lie groups considered as smooth manifolds. All the basic classes of a classification of 4 …

An associated Nijenhuis tensor of endomorphisms in the tangent bundle is introduced.
Special attention is paid to such tensors for an almost hypercomplex structure and the metric …

In this paper we initiate the study of submanifolds of almost hypercomplex manifolds with
Hermitian and Norden metrics. Object of investigations are holomorphic submanifolds of the …

Moduli spaces of type B surfaces with torsion Page 1 J. Geom. 108 (2017), 637–653 c©
2016 Springer International Publishing 0047-2468/17/020637-17 published online …

We examine the moduli space of oriented locally homogeneous manifolds of Type A which
have non-degenerate symmetric Ricci tensor both in the setting of manifolds with torsion and …

It is introduced a differentiable manifold with almost contact 3-structure which consists of an
almost contact metric structure and two almost contact B-metric structures. The product of …

Abstract Let $(W, q,\mathcal {D}) $ be a 4-dimensional Walker manifold. After providing a
characterization and some examples for several special $(1, 1) $-tensor fields on $(W …