Géométrie hermitienne et géométrie spinorielle conforme

by Nicolas Ginoux

Master thesis, Université Henri Poincaré - Nancy 1

Defended on September 28, 1999 - Certificate handed on March 24, 2000

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Abstract: This master thesis consists of two independent parts. In the first one, basics of Hermitian geometry are reviewed in order to prove a result by P. Gauduchon stating the existence and uniqueness of a Hermitian connection of minimal torsion on a given almost-Hermitian manifold. In the second one, we study spinors lying in the kernel of a Penrose-type operator on conformal spin manifolds according to V. Buchholz' master thesis.

Nicolas Ginoux, 17/07/2017