Displaying similar documents to “Examples of parallel spin-tensors.”

The positive mass theorem for ALE manifolds

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.

Dirac operators on hypersurfaces

Jarolím Bureš (1993)

Commentationes Mathematicae Universitatis Carolinae

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In this paper some relation among the Dirac operator on a Riemannian spin-manifold N , its projection on some embedded hypersurface M and the Dirac operator on M with respect to the induced (called standard) spin structure are given.

Clifford approach to metric manifolds

Chisholm, J. S. R., Farwell, R. S.

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[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis { e j : j = 1 , ⋯ , n } satisfying the condition { e i , e j } ≡ e i e j = e j e i = 2 I η i j , where I denotes the unit scalar of the algebra and ( η i j ) the nonsingular...