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 …

Through the eigenvalue problem we associate to the classical orthogonal polynomials two
classes of weighted Riemannian 1 1-manifolds having the coordinate x x. For the first class …

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 …

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

In the present paper, some multitime Rayleigh evolution PDEs are built, as extensions of the
single-time corresponding PDEs, using elements of differential geometry. Introducing some …

ON NEW CLASSES OF EXPLICIT QUASI-EINSTEIN RIEMANNIAN MANIFOLDS 1. Introduction
The notion of quasi-Einstein manifold was recentl Page 1 International Journal of Geometric …

In this article, we aim to introduce new classes of two-dimensional quasi-Einstein pseudo-
Riemannian manifolds with constant curvature. We also give a classification of 2 D quasi …

On a pseudo-Riemannian manifold (M, g) we consider∇ the Levi-Cività connection
associated to metric g and a function f: M→ ℝ whose pseudo-Riemannian Hessian is non …

The aim of this work is to bring together some contributions to the development of the class
of self-concordant functions on Riemannian manifolds, emphasizing on the class of self …