We consider a statistical connection∇ on an almost complex manifold with (pseudo-)
Riemannian metric, in particular the Norden metric. We investigate almost Norden …

We determine the general natural metrics G on the total space TM of the tangent bundle of a
Riemannian manifold (M, g) such that the Schouten–van Kampen connection∇¯ associated …

Let $ TM $ be a tangent bundle over a Riemannian manifold $ M $ with a Riemannian metric
$ g $ and $ TG $ be a tangent Lie group over a Lie group with a left-invariant metric $ g …

We study lift metrics and lift connections on the tangent bundle $ TM $ of a Riemannian
manifold $(M, g) $. We also investigate the statistical and Codazzi couples of $ TM $ and …

In this paper, we derive Chen inequality for statistical submanifold of statistical warped
product manifolds ℝ× f M. Further, we derive Chen inequality for Legendrian statistical …

Introducing the conformal vector fields on a statistical manifold, we present necessary and
sufficient conditions for a vector field on a statistical manifold to be conformal. After …

Conformal submersion with horizontal distribution is defined in this paper, which is a
generalization of the affine submersion with horizontal distribution. Then, proved a …

Let $(\acute {N}, g,\nabla) $\be a $2 n $-dimensional quasi-statistical manifold that admits a
pseudo-Riemannian metric $ g $(or $ h) $ and a linear connection $\nabla $ with torsion …

In this paper, we first show that the complete lift U^c to TM of a vector field U on M is an
infinitesimal fiber-preserving conformal transformation if and only if U is an infinitesimal …

Considering an almost product manifold, we get the necessary and sufficient conditions for
Codazzi connections on it. Also, we show that a Codazzi adapted connection on an almost …