The Ambient Metric, Fefferman Charles, Graham C. Robin

Автор: Chiossi Simon G., Fino Anna, Musso Emilio
Название: Special Metrics and Group Actions in Geometry
ISBN: 3319884441 ISBN-13(EAN): 9783319884448
Издательство: Springer
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Цена: 102480.00 T
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Описание:

1 Simplicial Toric Varieties as Leaf Spaces.- 2 Homotopy Properties of Kдhler Orbifolds.- 3 Notes on Transformations in Integrable Geometry.- 4 Completeness of Projective Special Kдhler and Quaternionic Kдhler Manifolds.- 5 Hypertoric Manifolds and Hyperkдhler Moment Maps.- 6 Harmonic almost Hermitian Structures.- 7 Killing 2-Forms in Dimension 4.- 8 Twistors, Hyper-Kдhler Manifolds, and Complex Moduli.- 9 Explicit Global Symplectic Coordinates on Kдhler Manifolds.- 10 Instantons and Special Geometry.- 11 Hermitian Metrics on Compact Complex Manifolds and their Deformation Limits.- 12 On The Cohomology of Some Exceptional Symmetric Spaces.- 13 Manifolds with Exceptional Holonomy.

Автор: Mabuchi Toshiki
Название: Test Configurations, Stabilities and Canonical Kдhler Metrics: Complex Geometry by the Energy Method
ISBN: 9811604991 ISBN-13(EAN): 9789811604997
Издательство: Springer
Цена: 60550.00 T
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Описание: The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. In this book, the unsolved cases of the conjecture will be discussed.It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds.

Автор: Tushar Das, David Simmons, Mariusz Urbanski
Название: Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-Proper Settings
ISBN: 1470434652 ISBN-13(EAN): 9781470434656
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.

Автор: Michel Marie Deza; Monique Laurent
Название: Geometry of Cuts and Metrics
ISBN: 3642042945 ISBN-13(EAN): 9783642042942
Издательство: Springer
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Цена: 130430.00 T
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Описание: Cuts and metrics are well-known objects that arise-- independently, but with many deep and fascinating connections--in diverse fields. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner.

Автор: Akito Futaki
Название: K?hler-Einstein Metrics and Integral Invariants
ISBN: 3540192506 ISBN-13(EAN): 9783540192503
Издательство: Springer
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Цена: 23250.00 T
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Описание: A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kahler-Einstein metric.

Автор: Simon G. Chiossi; Anna Fino; Fabio Podest?; Emilio
Название: Special Metrics and Group Actions in Geometry
ISBN: 3319675184 ISBN-13(EAN): 9783319675183
Издательство: Springer
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Цена: 102480.00 T
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Описание:

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.