Generalized geometric structures on complex and symplectic manifolds
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| 003 | CHVBK | ||
| 005 | 20210128100536.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0431-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0431-5 | ||
| 100 | 1 | |a Salvai |D Marcos |u FaMAF-CIEM, Ciudad Universitaria, Medina Allende s/n, 5000, Córdoba, Argentina |4 aut | |
| 245 | 1 | 0 | |a Generalized geometric structures on complex and symplectic manifolds |h [Elektronische Daten] |c [Marcos Salvai] |
| 520 | 3 | |a On a smooth manifold $$M$$ M , generalized complex (generalized paracomplex) structures provide a notion of interpolation between complex (paracomplex) and symplectic structures on $$M$$ M . Given a complex manifold $$\left( M,j\right) $$ M , j , we define six families of distinguished generalized complex or paracomplex structures on $$M$$ M . Each one of them interpolates between two geometric structures on $$M$$ M compatible with $$j$$ j , for instance, between totally real foliations and Kähler structures, or between hypercomplex and $$\mathbb {C}$$ C -symplectic structures. These structures on $$M$$ M are sections of fiber bundles over $$M$$ M with typical fiber $$G/H$$ G / H for some Lie groups $$G$$ G and $$H$$ H . We determine $$G$$ G and $$H$$ H in each case. We proceed similarly for symplectic manifolds. We define six families of generalized structures on $$\left( M,\omega \right) $$ M , ω , each of them interpolating between two structures compatible with $$\omega $$ ω , for instance, between a $$\mathbb {C}$$ C -symplectic and a para-Kähler structure (aka bi-Lagrangian foliation). | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Generalized complex structure |2 nationallicence | |
| 690 | 7 | |a Interpolation |2 nationallicence | |
| 690 | 7 | |a Kähler |2 nationallicence | |
| 690 | 7 | |a Hypercomplex |2 nationallicence | |
| 690 | 7 | |a Signature |2 nationallicence | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1505-1525 |x 0373-3114 |q 194:5<1505 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0431-5 |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/s10231-014-0431-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Salvai |D Marcos |u FaMAF-CIEM, Ciudad Universitaria, Medina Allende s/n, 5000, Córdoba, Argentina |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1505-1525 |x 0373-3114 |q 194:5<1505 |1 2015 |2 194 |o 10231 | ||