G-structure on a manifold (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "G-structure on a manifold" in English language version.

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ams.org

mathscinet.ams.org

Besse 1987, §14.61 Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.

arxiv.org

In classical field theory, such a section $\sigma$ describes a classical Higgs field (Sardanashvily, G. (2006). "Geometry of Classical Higgs Fields". International Journal of Geometric Methods in Modern Physics. 03: 139–148. arXiv:hep-th/0510168. doi:10.1142/S0219887806001065.).
It is a gravitational field in gauge gravitation theory (Sardanashvily, G. (2006). "Gauge gravitation theory from the geometric viewpoint". International Journal of Geometric Methods in Modern Physics. 3 (1): v–xx. arXiv:gr-qc/0512115. Bibcode:2005gr.qc....12115S.)

books.google.com

Gauduchon 1997 Gauduchon, Paul (1997). "Canonical connections for almost-hypercomplex structures". Complex Analysis and Geometry. Pitman Research Notes in Mathematics Series. Vol. 366. Longman. pp. 123–13. ISBN 978-0-582-29276-5.

doi.org

In classical field theory, such a section $\sigma$ describes a classical Higgs field (Sardanashvily, G. (2006). "Geometry of Classical Higgs Fields". International Journal of Geometric Methods in Modern Physics. 03: 139–148. arXiv:hep-th/0510168. doi:10.1142/S0219887806001065.).
Besse 1987, §14.61 Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.

harvard.edu

ui.adsabs.harvard.edu

It is a gravitational field in gauge gravitation theory (Sardanashvily, G. (2006). "Gauge gravitation theory from the geometric viewpoint". International Journal of Geometric Methods in Modern Physics. 3 (1): v–xx. arXiv:gr-qc/0512115. Bibcode:2005gr.qc....12115S.)

worldcat.org

search.worldcat.org

Kobayashi 1972 Kobayashi, Shoshichi (1972). Transformation Groups in Differential Geometry. Classics in Mathematics. Springer. ISBN 978-3-540-58659-3. OCLC 31374337.
Kobayashi 1972, I.4 Kobayashi, Shoshichi (1972). Transformation Groups in Differential Geometry. Classics in Mathematics. Springer. ISBN 978-3-540-58659-3. OCLC 31374337.

zbmath.org

Besse 1987, §14.61 Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.