Quaternionic structures in mathematics and physics : proceedings of the second meeting : Rome, Italy, 6-10 September 1999 / editors, Stefano Marchiafava, Paolo Piccinni, Massimiliano Pontecorvo.

Format:

Book

Conference/Event

Author/Creator:

Meeting on Quaternionic Structures in Mathematics and Physics, Corporate Author.

Contributor:

Marchiafava, Stefano.

Piccinni, Paolo.

Pontecorvo, Massimiliano.

Conference Name:

Meeting on Quaternionic Structures in Mathematics and Physics (2nd : 1999 : Rome, Italy)

Meeting on Quaternionic Structures in Mathematics and Physics

Language:

English

Subjects (All):

Geometry, Differential--Congresses.

Geometry, Differential.

Complex manifolds--Congresses.

Complex manifolds.

Quaternions--Congresses.

Quaternions.

Physical Description:

1 online resource (486 p.)

Other Title:

Proceedings of the second meeting, quaternionic structures in mathematics and physics

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2001.

Language Note:

English

Summary:

During the last five years, after the first meeting on "Quaternionic Structures in Mathematics and Physics", interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Kähler, hyper-Kähler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry

Contents:

Foreword; Introduction To The Contributions; List Of Participants; Contents; Hypercomplex Structures On Special Classes Of Nilpotent And Solvable Lie Groups; 1. Introduction; 2. A Special Hyper-Hermitian Metric; 3. Hypercomplex Structures On Certain Nilpotent And Solvable Lle Groups; References; Twistor Quotients Of Hyperkahler Manifolds; Introduction; 1. Twistor Groups And Their Actions; 2. Negative Twistor Groups And Deformations Of Hyperkahler Structures; 3. Twistor Quotients; 4. The Generalized Legendre Transform; References; Quaternionic Contact Structures; Definition And First Examples

Conformal Infinities Of Einstein MetricsTwistor Construction For Quaternionic Contact Structures; Construction Of Quaternionic-Kahler Metrics; Explicit Examples; References; A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures; Introduction; 1. Extended Poincare Algebras; 2. The Homogeneous Quaternionic Manifold (M,Q) Associated To An Extended Poincare Algebra; 3. Bundles Associated To The Quaternionic Manifold (M,Q); 4. Homogeneous Quaternionic Supermanifolds Associated To Superextended Poincare Algebras; References; Spencer Manifolds; 1. Introduction

2. Holomorphic Coordinates3. Spencer Coordinates; 4. Local Submersions And Local Foliations; 5. Elliptic Equations; 6. Generation Of Almost-Complex Structures; References; Quaternion Kahler Flat Manifolds; 1. Introduction; 2. Construction Of Quaternion Kahler Flat Manifolds; 3. Quaternion Kahler Flat Manifolds Of Low Dimensions; References; Hyperholomorphic Functions In R4; 1. Introduction; 2. Hyperholomorphic Functions; References; A Note On The Reduction Of Sasakian Manifolds; 1. Introduction; 2. Definitions Of Sasakian Manifolds; 3. The Results

4. Examples: SU(2) Actions On Sasakian SpheresReferences; A Theory Of Quaternionic Algebra, With Applications To Hypercomplex Geometry; 1. Introduction; 2. Algebraic Structures Over The Quaternions; 3. Hypercomplex Geometry; 4. Examples, Applications And Conclusions; References; A Canonical Hyperkahler Metric On The Total Space Of A Cotangent Bundle; Introduction; 1. Statements And Definitions; 2. Normalization; 3. Hodge Bundles; 4. Hodge Connections; 5. The Weil Algebra; 6. The Proof Of Proposition 5.3; 7. Metrics; 8. Symmetric Spaces.; References

Equivariant Cohomology Rings Of Toric Hyperkahler Manifolds1. Introduction; 2. Main Results; 3. Proof Of Theorem 2.4; References; An Introduction To Pseudotwistors Basic Constructions; 1. Introduction; 2. Dynamical Systems Generated By The Hermitian Hurwitz Pairs Of Signatures (3,2) And (1,4); 3. Basic Constructions For The Hurwitz Pairs (C16(I8,8), R9(Io,s)), o + 8 = 9; 4. Pseudotwistors Related To Hermitian Hurwitz Pairs; References; Differential Geometry Of Circles In A Complex Projective Space; 1. Introduction; 2. Congruence Theorem For Circles; 3. Length Spectrum Of Circles In CPn(c)

References

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611951573

9781281951571

1281951579

9789812810038

981281003X