9 citations · 12 across the 9 of their papers we have counts for
11 papers
Newman--Penrose formalism in -dimensional trans-Sasakian manifolds
Prachi, Marie-Amélie Lawn, Mukut Mani Tripathi
We study -dimensional trans-Sasakian manifolds using the Newman--Penrose formalism. In this framework, the geometry of the structure vector field is encoded by scalar spin coeff…
Automated Feedback Generation for Undergraduate Mathematics: Development and Evaluation of an AI Teaching Assistant
Aron Gohr, Marie-Amelie Lawn, Kevin Gao +2
Intelligent tutoring systems have long enabled automated immediate feedback on student work when it is presented in a tightly structured format and when problems are very constrain…
Killing Mean Curvature Solitons from Riemannian Submersions
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
We present a new general construction of examples of mean curvature solitons on manifolds admitting a nowhere-vanishing Killing vector field. Using Riemannian submersion techniques…
Generalised Spin Structures on Homogeneous Spaces
Diego Artacho, Marie-Amélie Lawn
Spinorial methods have proven to be a powerful tool to study geometric properties of spin manifolds. Our aim is to continue the spinorial study of manifolds that are not necessaril…
New Examples of Translating Solitons in Generalised Robertson-Walker Geometries
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
Translators can be regarded as submanifolds which satisfy the mean curvature flow equation when evolving by translations along a distinguished vector field of the ambient space. We…
Spinorial representation of submanifolds in a product of space forms
Alicia Basilio, Pierre Bayard, Marie-Amélie Lawn +1
We present a method giving a spinorial characterization of an immersion in a product of spaces of constant curvature. As a first application we obtain a proof using spinors of the…