Skip to main content
SpringerLink
Log in

Asymptotically Euclidean Manifolds and Twistor Spinors

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

Based on the Berger–Simons holonomy classification, we characterize all Riemannian spin manifolds carrying a twistor spinor with at least one zero. In particular, the dimension n of the manifold is either even or n=7. Outside the set of zeros of the twistor spinor the metric is conformal to either a flat metric or a Ricci flat and locally irreducible metric.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Mathematisches Institut B, Universität Stuttgart, 70550 Stuttgart, Germany.¶E-mail: kuehnel@mathematik.uni-stuttgart.de, , , , , , DE

    Wolfgang Kühnel

  2. Mathematisches Institut, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany.¶E-mail: rademacher@mathematik.uni-leipzig.de, , , , , , DE

    Hans-Bert Rademacher

Authors
  1. Wolfgang Kühnel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hans-Bert Rademacher
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 25 July 1997 / Accepted: 8 January 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kühnel, W., Rademacher, HB. Asymptotically Euclidean Manifolds and Twistor Spinors . Comm Math Phys 196, 67–76 (1998). https://doi.org/10.1007/s002200050414

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050414

Keywords

Search

Navigation