Cones of $$G$$ G manifolds and Killing spinors with skew torsion
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| 003 | CHVBK | ||
| 005 | 20210128100535.0 | ||
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| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0393-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0393-z | ||
| 245 | 0 | 0 | |a Cones of $$G$$ G manifolds and Killing spinors with skew torsion |h [Elektronische Daten] |c [Ilka Agricola, Jos Höll] |
| 520 | 3 | |a This paper is devoted to the systematic investigation of the cone construction for Riemannian $$G$$ G manifolds $$M$$ M , endowed with an invariant metric connection with skew torsion $$\nabla ^c$$ ∇ c , a ‘characteristic connection.' We show how to define a $$\bar{G}$$ G ¯ structure on the cone $$\bar{M}=M\times \mathbb {R}^+$$ M ¯ = M × R + with a cone metric, and we prove that a Killing spinor with torsion on $$M$$ M induces a spinor on $$\bar{M}$$ M ¯ that is parallel for the characteristic connection of the $$\bar{G}$$ G ¯ structure. We establish the explicit correspondence between classes of metric almost contact structures on $$M$$ M and almost Hermitian classes on $$\bar{M}$$ M ¯ , respectively, between classes of $$G_2$$ G 2 structures on $$M$$ M and $$\mathrm {Spin}(7)$$ Spin ( 7 ) structures on $$\bar{M}$$ M ¯ . Examples illustrate how this ‘cone correspondence with torsion' works in practice. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Cone of Riemannian manifold |2 nationallicence | |
| 690 | 7 | |a Metric connection with skew torsion |2 nationallicence | |
| 690 | 7 | |a Characteristic connection |2 nationallicence | |
| 690 | 7 | |a $$G$$ G Structure |2 nationallicence | |
| 690 | 7 | |a Killing spinor with torsion |2 nationallicence | |
| 690 | 7 | |a Parallel spinor |2 nationallicence | |
| 690 | 7 | |a $$G_2$$ G 2 manifold |2 nationallicence | |
| 690 | 7 | |a $$\mathrm {Spin}(7)$$ Spin ( 7 ) manifold |2 nationallicence | |
| 690 | 7 | |a almost contact metric manifold |2 nationallicence | |
| 690 | 7 | |a $$\alpha $$ α -Sasakian manifold |2 nationallicence | |
| 690 | 7 | |a almost Hermitian manifold |2 nationallicence | |
| 690 | 7 | |a Hyper-Kähler manifold with torsion |2 nationallicence | |
| 690 | 7 | |a Tanno deformation |2 nationallicence | |
| 700 | 1 | |a Agricola |D Ilka |u Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35032, Marburg, Germany |4 aut | |
| 700 | 1 | |a Höll |D Jos |u Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35032, Marburg, Germany |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 673-718 |x 0373-3114 |q 194:3<673 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0393-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0393-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Agricola |D Ilka |u Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35032, Marburg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Höll |D Jos |u Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35032, Marburg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 673-718 |x 0373-3114 |q 194:3<673 |1 2015 |2 194 |o 10231 | ||