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  • Book
  • © 2017

Special Metrics and Group Actions in Geometry

  • Offers ultimative research articles on cutting-edge topics

  • Written leading international experts

  • Provides an overview of the state of the art in a wide spectrum of active research lines

Part of the book series: Springer INdAM Series (SINDAMS, volume 23)

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eBook USD 109.00
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  • ISBN: 978-3-319-67519-0
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  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)
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Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
  2. Simplicial Toric Varieties as Leaf Spaces

    • Fiammetta Battaglia, Dan Zaffran
    Pages 1-21
  3. Homotopic Properties of Kähler Orbifolds

    • Giovanni Bazzoni, Indranil Biswas, Marisa Fernández, Vicente Muñoz, Aleksy Tralle
    Pages 23-57
  4. Completeness of Projective Special Kähler and Quaternionic Kähler Manifolds

    • Vicente Cortés, Malte Dyckmanns, Stefan Suhr
    Pages 81-106
  5. Hypertoric Manifolds and HyperKähler Moment Maps

    • Andrew Dancer, Andrew Swann
    Pages 107-127
  6. Harmonic Almost Hermitian Structures

    • Johann Davidov
    Pages 129-159
  7. Killing 2-Forms in Dimension 4

    • Paul Gauduchon, Andrei Moroianu
    Pages 161-205
  8. Explicit Global Symplectic Coordinates on Kähler Manifolds

    • Andrea Loi, Fabio Zuddas
    Pages 215-239
  9. Instantons and Special Geometry

    • Jason D. Lotay, Thomas Bruun Madsen
    Pages 241-267
  10. Hermitian Metrics on Compact Complex Manifolds and Their Deformation Limits

    • Antonio Otal, Luis Ugarte, Raquel Villacampa
    Pages 269-290
  11. Manifolds with Exceptional Holonomy

    • Simon Salamon
    Pages 307-338

About this book

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.

Keywords

  • Special metrics
  • G-structures
  • Holonomy theory
  • Quaternionic manifolds
  • Almost Hermitan geometry

Editors and Affiliations

  • GMA - IME, Universidade Federal Fluminense GMA - IME, Niteroi, Brazil

    Simon G. Chiossi

  • Dipartimento di Mathematica "G. Peano", Università di Torino, Torino, Italy

    Anna Fino

  • Dipartimento di Matematica e Informatica, Università di Firenze, Firenze, Italy

    Emilio Musso

  • Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy

    Fabio Podestà

  • Dipart. di Matematica, Giuseppe Peano, Università di Torino, Torino, Italy

    Luigi Vezzoni

About the editors

Prof. Simon Chiossi is a lecturer at Universidade Federal Fluminense, and previously held posts in Odense, Berlin, Torino, Marburg and Salvador. He was awarded a PhD in mathematics from the University of Genoa in 2003, and his scholarly publications focus on special geometry in dimensions 4 to 8.

Prof. Anna Fino is currently a full professor at the University of Torino, where she also received her Ph.D. in Mathematics. Her research work mainly focuses on differential geometry, complex geometry, Lie groups, more specifically, Hermitian geometry, G-structures and special holonomy, and geometric flows. She has supervised three doctoral theses and she is author of 72 papers.

Prof. Fabio Podestà studied mathematics at the University of Pisa and at the Scuola Normale Superiore, where he attended the Corso di Perfezionamento in Mathematics. He is currently a full professor at the University of Florence. His research activity in the field of differential geometry mainly concerns Lie group actions preserving geometric structures. He is author of more than 50 published papers.

Prof. Emilio Musso obtained his Ph.D. in mathematics at the Washington University in St. Louisin 1987. He taught at the Universities of Florence, L’Aquila and Rome in Italy. Currently he is a professor of mathematics at the Politecnico di Torino. He has published 60 papers and one book on several topics in differential geometry. His research interests are in geometrical variational problems, exterior differential systems and in the interrelations between geometry, physics and integrable systems.

Prof. Luigi Vezzoni graduated in mathematics at the University of Florence in 2003, and received his Ph.D. in mathematics at the University of Pisa in 2007. He is currently an associate professor at the University of Turin. He is author of more than 40 papers in international journals and he was the main speaker at a number of international conferences including conferences in Brazil, Japan, China, Luxembourg, Germany and Bulgaria. He has also supervised several master’s theses and he is currently supervising a Ph.D. thesis. His current research interests include complex geometry, special geometric structures on smooth manifolds, geometric flows and geometric analysis.

Bibliographic Information

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-67519-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)
Hardcover Book USD 139.99
Price excludes VAT (USA)