Compact Manifolds with Special Holonomy


Author: Dominic D. Joyce

Publisher: Oxford University Press on Demand

ISBN: 9780198506010

Category: Mathematics

Page: 436

View: 8567

This is a combination of a graduate textbook on Riemannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It is the first book on compact manifolds with exceptional holonomy, and contains much new research material and many new examples.

Riemannian Holonomy Groups and Calibrated Geometry


Author: Dominic D. Joyce

Publisher: Oxford University Press

ISBN: 019921560X

Category: Mathematics

Page: 303

View: 1758

Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Special Metrics and Group Actions in Geometry


Author: Simon G. Chiossi,Anna Fino,Emilio Musso,Fabio Podestà,Luigi Vezzoni

Publisher: Springer

ISBN: 3319675192

Category: Mathematics

Page: 338

View: 1649

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.

Cohomological Aspects in Complex Non-Kähler Geometry


Author: Daniele Angella

Publisher: Springer

ISBN: 3319024418

Category: Mathematics

Page: 262

View: 7725

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.

Complex and Symplectic Geometry


Author: Daniele Angella,Costantino Medori,Adriano Tomassini

Publisher: Springer

ISBN: 331962914X

Category: Mathematics

Page: 263

View: 4865

This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds; analytic techniques in Kähler and non-Kähler geometry; almost-complex and symplectic structures; special structures on complex manifolds; and deformations of complex objects. The work is intended for researchers in these areas.


Mathematical, physical, and engineering sciences


Author: N.A

Publisher: N.A


Category: Engineering

Page: N.A

View: 2561