The Dirac operator on collapsing -bundles
Bernd Ammann (1997-1998)
Séminaire de théorie spectrale et géométrie
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Bernd Ammann (1997-1998)
Séminaire de théorie spectrale et géométrie
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Petroşanu, Dana-Mihaela (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Friedrich, Thomas
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[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated. ...
Bertrand Morel (2004-2005)
Séminaire de théorie spectrale et géométrie
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We generalize the spinorial characterization of isometric immersions of surfaces in given by T. Friedrich to surfaces in and . The main argument is the interpretation of the energy-momentum tensor associated with a special spinor field as a second fundamental form. It turns out that such a characterization of isometric immersions in terms of a special section of the spinor bundle also holds in the case of hypersurfaces in the Euclidean -space.
Mattias Dahl (1997)
Banach Center Publications
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We show what extra condition is necessary to be able to use the positive mass argument of Witten [12] on an asymptotically locally euclidean manifold. Specifically we show that the 'generalized positive action conjecture' holds if one assumes that the signature of the manifold has the correct value.