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20232025
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math.DG2025

Ricci-Yamabe solitons on a Walker 3-manifold

Abdou Bousso, Ameth Ndiaye

This paper is devoted to the study of Ricci-Yamabe solitons on a particular class of Walker manifolds in dimension 3. We consider a Walker metric where the function f depends on th…

math.DG2025

Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion

El Hadji Baye Camara, Athoumane Niang, Ameth Ndiaye +1

Given a non-null curve in a strict Walker 3-manifold, first we show that (locally) lies in a flat cylinder with a null axis. Secondly, we construct an example of such a cur…

math.DG2025

Ricci Solitons on the Poincaré upper half plane

Abdou Bousso, Ameth Ndiaye

In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of…

math.DG2025

Integral formulas in -Almost Ricci-Bourguignon solitons

Abdou Bousso, Moctar Traore, Ameth Ndiaye

The aim of this paper is to investigate some integral formulas for compact gradient -almost Ricci-Bourguignon solitons. Consequently, we generalize the results previously ob tai…

math.DG2024

On timelike Bonnet surfaces in Lorentzian 3-manifold

Athoumane Niang, Ameth Ndiaye, Adama Thiandoum

In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surf…

math.DG2023

Curves of Constant Breadth According to Darboux Frame in a Strict Walker 3-Manifold

Ameth Ndiaye

In this paper, we investigate the differential geometry properties of curves of constant breadth according to Darboux frame in a given strict Walker 3-manifold. The considered curv…