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Cited by 329

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Parallel spinors and connections with skew-symmetric torsion in string theory

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Friedrich, Thomas, Ivanov, Stefan·2002·Asian Journal of Mathematics

Abstract

We describe all almost contact metric, almost hermitian and G2-structures admitting a connection with totally skew-symmetric torsion tensor, and prove that there exists at most one such connection.We investigate its torsion form, its Ricci tensor, the Dirac operator and the Vparallel spinors.In particular, we obtain partial solutions of the type // string equations in dimension n = 5, 6 and 7.

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Metadata

Authors
Friedrich, T., & Ivanov, S.
Venue
Asian Journal of Mathematics
Published
2002
Volume
6
Issue
2
Pages
303-336
ISSN
  • 1093-6106 (ISSN-L)
  • 1945-0036
OpenAlex
W2149890214
Cited by
329
References
4
FWCI
10.58
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Parallel spinors and connections with skew-symmetric torsion in string theory. https://app.cochat.ai/papers/10.4310/ajm.2002.v6.n2.a5
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Friedrich, T., & Ivanov, S. (2002). Parallel spinors and connections with skew-symmetric torsion in string theory. Asian Journal of Mathematics. https://doi.org/10.4310/ajm.2002.v6.n2.a5

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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