Killing spinor-valued forms and the cone construction

Petr Somberg; Petr Zima

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 5, page 341-355
  • ISSN: 0044-8753

Abstract

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On a pseudo-Riemannian manifold 𝕄 we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on 𝕄 and parallel fields on the metric cone over 𝕄 for spinor-valued forms.

How to cite

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Somberg, Petr, and Zima, Petr. "Killing spinor-valued forms and the cone construction." Archivum Mathematicum 052.5 (2016): 341-355. <http://eudml.org/doc/287561>.

@article{Somberg2016,
abstract = {On a pseudo-Riemannian manifold $\mathbb \{M\}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on $\mathbb \{M\}$ and parallel fields on the metric cone over $\mathbb \{M\}$ for spinor-valued forms.},
author = {Somberg, Petr, Zima, Petr},
journal = {Archivum Mathematicum},
keywords = {pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms},
language = {eng},
number = {5},
pages = {341-355},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Killing spinor-valued forms and the cone construction},
url = {http://eudml.org/doc/287561},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Somberg, Petr
AU - Zima, Petr
TI - Killing spinor-valued forms and the cone construction
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 5
SP - 341
EP - 355
AB - On a pseudo-Riemannian manifold $\mathbb {M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on $\mathbb {M}$ and parallel fields on the metric cone over $\mathbb {M}$ for spinor-valued forms.
LA - eng
KW - pseudo-Riemannian spin manifolds; Killing type equations; cone construction; spinor-valued differential forms
UR - http://eudml.org/doc/287561
ER -

References

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