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Special metrics and group actions in geometry. Proceedings of the INdAM workshop “New perspectives in differential geometry”, on the occasion of the 60th birthday of Simon Salamon, Rome, Italy, November 16–20, 2015. (English) Zbl 1387.53006

Springer INdAM Series 23. Cham: Springer (ISBN 978-3-319-67518-3/hbk; 978-3-319-67519-0/ebook). x, 338 p. (2017).

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Publisher’s description: The volume is a follow-up to the INdAM meeting “Special metrics and quaternionic geometry” held in Rome in November 2015. It offers a panoramic view of a selection of cutting-edge topics in differential geometry, including 4-manifolds, quaternionic and octonionic geometry, twistor spaces, harmonic maps, spinors, complex and conformal geometry, homogeneous spaces and nilmanifolds, special geometries in dimensions 5–8, gauge theory, symplectic and toric manifolds, exceptional holonomy and integrable systems. The workshop was held in honor of Simon Salamon, a leading international scholar at the forefront of academic research who has made significant contributions to all these subjects. The articles published here represent a compelling testimony to Salamon’s profound and longstanding impact on the mathematical community. Target readership includes graduate students and researchers working in Riemannian and complex geometry, Lie theory and mathematical physics.
The articles of this volume will be reviewed individually.
Indexed articles:
Battaglia, Fiammetta; Zaffran, Dan, Simplicial toric varieties as leaf spaces, 1-21 [Zbl 1406.14039]
Bazzoni, Giovanni; Biswas, Indranil; Fernández, Marisa; Muñoz, Vicente; Tralle, Aleksy, Homotopic properties of Kähler orbifolds, 23-57 [Zbl 1411.53053]
Burstall, Fran, Notes on transformations in integrable geometry, 59-80 [Zbl 1404.37089]
Cortés, Vicente; Dyckmanns, Malte; Suhr, Stefan, Completeness of projective special Kähler and quaternionic Kähler manifolds, 81-106 [Zbl 1417.53052]
Dancer, Andrew; Swann, Andrew, Hypertoric manifolds and Hyperkähler moment maps, 107-127 [Zbl 1410.53051]
Davidov, Johann, Harmonic almost Hermitian structures, 129-159 [Zbl 1416.53058]
Gauduchon, Paul; Moroianu, Andrei, Killing 2-forms in dimension 4, 161-205 [Zbl 1414.53026]
LeBrun, Claude, Twistors, hyper-Kähler manifolds, and complex moduli, 207-214 [Zbl 1412.53072]
Loi, Andrea; Zuddas, Fabio, Explicit global symplectic coordinates on Kähler manifolds, 215-239 [Zbl 1406.53078]
Lotay, Jason D.; Madsen, Thomas Bruun, Instantons and special geometry, 241-267 [Zbl 1409.53045]
Otal, Antonio; Ugarte, Luis; Villacampa, Raquel, Hermitian metrics on compact complex manifolds and their deformation limits, 269-290 [Zbl 1457.53051]
Piccinni, Paolo, On the cohomology of some exceptional symmetric spaces, 291-305 [Zbl 1409.53047]
Salamon, Simon, Manifolds with exceptional holonomy, 307-338 [Zbl 1457.53037]

MSC:

53-06 Proceedings, conferences, collections, etc. pertaining to differential geometry
32-06 Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces
53C55 Global differential geometry of Hermitian and Kählerian manifolds
32Q15 Kähler manifolds
53C35 Differential geometry of symmetric spaces
00B25 Proceedings of conferences of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Salamon, Simon
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