23 citations · 100 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Spectrum of hypersurfaces with small extrinsic radius or large in euclidean spaces
Erwann Aubry, Jean-Francois Grosjean
In this paper, we prove that Euclidean hypersurfaces with almost extremal extrinsic radius or have a spectrum that asymptotically contains the spectrum of the extremal sphere…
The Spin Dirac Operator on Hypersurfaces and Applications
Roger Nakad, Julien Roth
We extend to the eigenvalues of the hypersurface Spin Dirac operator well known lower and upper bounds. Examples of limiting cases are then given. Futhermore, we prove a corres…
Hypersurfaces of Spin manifolds and Lawson type correspondence
Roger Nakad, Julien Roth
Simply connected 3-dimensional homogeneous manifolds , with 4-dimensional isometry group, have a canonical Spin structure carrying parallel or Killing spinors. The res…