Let (M, g) be an nn-dimensional (pseudo)-Riemannian manifold and f: M → R f: M→ R be a
smooth function whose Hessian with respect to g is non-degenerate. One can define the …

Norden structures of Hessian type Page 1 Turkish Journal of Mathematics Volume 38
Number 3 Article 9 1-1-2014 Norden structures of Hessian type ARIF SALIMOV AYDIN …

We introduce a study of Riemannian manifold M= ℝ2 endowed with a metric of diagonal
type of the form, where g is a positive function, of C∞-class, depending on the variable x2 …

In this work, we propose a study of geometric structures (connections, pseudo-Riemannian
metrics) adapted to some fundamental problems of Differential Geometry. Then we find …

We show that the geodesics of a flat Riemannian space are transversal to the constant level
manifold. Next, consider the manifold M= R2, endowed with the Riemannian metric g (x, y) …

Given an arbitrary pseudo-Riemannian manifold (M, g), consider a real function f, defined on
M, whose Hessian with respect to the initial pseudo-Riemannian metric g is non-degenerate …

This paper aims to be a natural continuation of our very recent research, published in [Int. J.
Geom. Meth. Mod. Phys. 8 (4)(2011) 783–796]. Using as geometric background a …

In this paper, we study locally decomposable Silver-Hessian manifolds and holomorphic
Silver Norden Hessian manifolds. We investigate that if the smooth function is …

We introduce geometric structures (connections, pseudo-Riemannian metrics) adapted to
some fundamental problems of Differential Geometry, and find geometrical characteristics …

Due to the importance of Hessian structures we express some algebraic and geometric
features of two such semi-Riemannian metrics in dimension two. For this purpose we use …