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math.DG2000
Dirac Operator on Embedded Hypersurfaces
Oussama Hijazi, Sebastian Montiel, Xiao Zhang
New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for t…
math.DG2000
A Willmore functional for compact surfaces of complex projective plane
Sebastian Montiel, Francisco Urbano
We propose the study of a conformally invariant functional for surfaces of complex projective plane which is closely related to the classical Willmore functional. We show that mini…