21 citations · 70 across the 17 of their papers we have counts for
21 papers
Generalised Killing Spinors and Euclidean Hypersurfaces
Samuel Forster, Marie-Amélie Lawn
We study when the number of spinors satisfying the same generalised Killing equation for a symmetric endomorphism field forces local realisation as a Euclidean hypersurface. Le…
The Lebrun--Salamon conjecture is true in dimension up to 56
Jordi Daura Serrano, Aron Gohr, Marie-Amélie Lawn +1
We prove the LeBrun--Salamon conjecture for positive quaternionic Kähler manifolds of quaternionic dimension n <= 14. To do so, we first show that the isometry group Isom(M) of any…
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…
Invariant Spinors on Homogeneous Spheres
Ilka Agricola, Jordan Hofmann, Marie-Amélie Lawn
Using the characterization of the spin representation in terms of exterior forms, we give a complete classification of invariant spinors on the nine homogeneous realizations of the…
G-invariant Spin Structures on Spheres
Jordi Daura Serrano, Michael Kohn, Marie-Amélie Lawn
We examine which of the compact connected Lie groups that act transitively on spheres of different dimensions leave the unique spin structure of the sphere invariant. We study the…
Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions
Marie-Amelie Lawn, Miguel Ortega
We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds admitting submersions and cohomegene…
Translating solitons from semi-Riemannian foliations
Marie-Amelie Lawn, Miguel Ortega
We recall the notion of (vertical) translating solitons in a product of a semi-Riemannian manifold and the real line. Mainly, we restrict our attention to those which are t…
Spinorial Representation of Submanifolds in Riemannian Space Forms
P. Bayard, M. -A. Lawn, J. Roth
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Riemannian space forms in terms of the existence of so called generalized Kil…
Associated Families of Surfaces in Warped Products and Homogeneous Spaces
Marie-Amélie Lawn, Miguel Ortega
We classify Riemannian surfaces admitting associated families in three dimensional homogeneous spaces with four-dimensional isometry groups and in a wide family of (semi-Riemannian…
A Fundamental Theorem for submanifolds of multiproducts of real space forms
Marie-Amélie Lawn, Julien Roth
We prove a Bonnet theorem for isometric immersions of submanifolds into the products of an arbitrary number of simply connected real space forms. Then, we prove the existence of as…
A Fundamental Theorem for Hypersurfaces in Semi-Riemannian Warped Products
Marie-Amelie Lawn, Miguel Ortega
We give necessary and sufficient conditions for a semi-Riemannian manifold of arbitrary signature to be locally isometrically immersed into certain warped products. Then, we descri…
Spinorial Representation of Surfaces into 4-dimensional Space Forms
Pierre Bayard, Marie-Amelie Lawn, Julien Roth
In this paper we give a geometrically invariant spinorial representation of surfaces in four-dimensional space forms. In the Euclidean space, we obtain a representation formula whi…
Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces
Andrea Altomani, Marie-Amélie Lawn
We consider isometric immersions in arbitrary codimension of three-dimensional strongly pseudoconvex pseudo-hermitian CR manifolds into the Euclidean space and gener…
Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces
Andrea Altomani, Marie-Amélie Lawn
Using a bigraded differential complex depending on the CR and pseudohermitian structure, we give a characterization of three-dimensional strongly pseudoconvex pseudo-hermitian CR-m…
Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms
M. -A. Lawn, J. Roth
We give a spinorial characterization of isometrically immersed surfaces of arbitrary signature into 3-dimensional pseudo-Riemannian space forms. For Lorentzian surfaces, this gener…
Isometric Immersions of Hypersurfaces in 4-dimensional Manifolds via Spinors
Marie-Amélie Lawn, Julien Roth
We give a spinorial characterization of isometrically immersed hypersurfaces into 4-dimensional space forms and product spaces $\M^3(κ)\times\R$, in terms of the existence of parti…